Fewer microphones, though...

H2 has two sets of stereo mikes (front 90� and back 120� cardioids) that can also record four track for surround (or four mikes into stereo for placement in the middle of an ensemble).

For me, they are a kind of a push... There are extra features unique to both. H4 can overdub (but not punch in and out), H2 has time-stamping (very useful for finding recordings from the past), H4 has XLR and 1/4" inputs, H2 is more compact, just 1/8" mini-jack.

Which one suits you better depends on what you want to do... Me, I've got a DAW at home, so the Zoom is for live capture only, so two track is fine.