Recommended mAh for Oly SP570UZ?

Wondering what the recommended mAh level is for AA rechargeable
for this camera. 2500 was suggested at the store, but I'm not
sure what might be best.

I do want long life, but at the same time I want to make sure
that the batteries are safe, cool, constant and predictable. I
don't know if 2700 might be an issue, or 2200, etc.

My Oly C5050 specified 1700mAh and came with 4 of those. But
this SP570UZ came with alkaline with no recommendation on
rechargeables.

I'd appreciate some helpful advice on this.

Thanks