Rating for #2 Aluminum XLPE underground utility feed
Being in conduit vs direct burial makes no significant difference on ampacity.  

Since it is on the utility side of the meter, and the wire was provided by the power company,  this is a big bag of Not Your  Problem.   

The power company has two smart  meters
that record your peak energy usage. They will know when your usage is of concern, and will send out a truck with marshmallows and graham crackers.  

Now what is the deal with the three loose conductors stapled to the side of your house? Please, tell me they are 2 AWG XLPE telephone lines, and the one with the white stripe is cable TV...