Main box amp requirement for 2.4 amp refrigerator
Assuming USA/Canada: 15A if it's 14Ga copper wire, 15 or 20A if it's 12Ga copper wire. I'm personally not a fan of sharing the refrigerator or freezer circuits with any other load due to the possibility that the other load will trip the circuit and spoil your food.
If the other outlets are in the kitchen, that's required to be 20A if it's one of the two required countertop outlet circuits.