AI or non-AI lenses will work fine on your F2, the only requirement is that they have the coupling prong which is the half-moon shaped thing screwed to the f/stop ring at 5.6.
The AI lenses have a second set of f/stop numbers engraved on the ring near the body and a milled out ledge that engages with the auto indexing lever on F3 and later bodies.
I think there are full explainations of all this on the mir site.