"I'm getting an electric shock from my [insert device name]. I measured [pick a number between 50 and 100] volts with my multimeter! How can you sell something so dangerous?"
A very common question received at my previous job working for a radio manufacturer. All of the radios ran off switch-mode power supplies and therefore were not grounded; the Ground pin of the (UK) plug was plastic, so it couldn't have been.
The reason for the high volume of such complaints is the very nature of radios. The big metal extendable stick on the back is an antenna, and physics/electromagnetic theory dictates that if you put a resistance from the antenna (when the radio is powered) to earth, electrons will flow and therefore a voltage is generated. If that restance is tens of Megaohms, i.e. from a multimeter, you're going to read voltages that would make your hair stand on end. Except not literally.
So, to the question at hand relying heavily on the answer I would provide to those that were worried about possible danger involved:
Voltage does not kill. Ever. Unless it's so high that it ionises atoms in your body, but that's perhaps even beyond lightning-strike territory.
Current kills. This webpage states that death 'occurs' between 100 and 200mA. Interestingly there's a category above 'death', but that's another discussion. 'Sensation' occurs between 1 and 10mA.
Now to the Human Body Model. I used to have a really good diagram of typical resistance values from various parts of your body to your feet, which is generally the part connected to ground. Alas I cannot find this anymore, but this article from the US National Library of Medicine gives figures that are suitable. With the lowest quoted resistance for skin of 1k Ohms (wet, broken skin) and an internal resistance of 300 Ohms, the HBM resistance is 2.3k Ohms (it has to go through the skin twice). This resistance and the "2.4 volts" given in the OP shows that the current flowing is ~1mA, the "threshold of sensation" according to the first link. If you can, measure with the multimeter from the laptop to ground without you touching the laptop - please post the result.
No, the laptop is not damaging your health, but the prolonged exposure may prove uncomfortable and give you the noted symptoms. I cannot imagine the effects would be long lasting - I use a TENS machine regularly when I go to my osteopath and I once spotted in the manual "What to do if you fall asleep while using the TENS". I didn't read the section, but it was pretty inconspicous which suggests that you needn't be concerned if it happens. There were no big skull-and-crossbones images next to it! Consult a doctor for an accurate answer, this is just an educated opinion.
I doubt that the laptop is faulty, nor is the charger. Universal chargers (I'm sure yours is as it can be powered from 100-240V) will, like the radios I mentioned, be made to use in countries that have non-dedicated-ground electrical supplies. Therefore the laptop isn't grounded when plugged in, giving rise to a floating case voltage. Not as bad as the antenna scenario of course. My Sony surround sound amplifier, with only a figure-8 mains lead, has the exact same 'tiny shocks when you run your finger over it' sensation when touching its metal fascia.