Does it have to 6.2(2)? If you are only playing around (and even if you are not), then you may as well install MS-DOS 7.1.
A few years ago, a new copy of DOS 7.1 (the version that came with Windows 98) started making the rounds. It is not an official release from Microsoft, but rather a compilation made by DOS enthusiasts of the official MS-DOS 6.22 (the last official release) + the components from MS-DOS 7.1 (from Windows 98—I think ME had "7.11") + several third-party tools.
It has lots of great features:
- long-filenames
- better disk-checking for large drives
- support for sound-cards
- multiple languages
Best of all, it supported Windows XP in that the installer was able to detect and work-around it so that you could actually (successfully) install MS-DOS 7.1 after having already installed XP, and successfully dual-boot both! It even came on a bootable CD that you could install it from.
The legalities of it are not really known. Technically I suppose it should not be allowed if it uses actual Microsoft files though it says it is free (GPL), but you can find many people arguing and pointing out loop holes and supporting documentation and such that it is okay. Either way it is pretty easy to find a copy. There are plenty of videos showing how to install it.
Splash screen: 
Initial setup screen: 