To solve this expression, we need to perform the multiplication operation first, and then add the results to 2.
So, 100000000000000000000 * 64444444444444444444444444 = 6.444444444444444e+43
Adding 2 to this result, we get:
6.444444444444444e+43 + 2 = 6.444444444444444e+43 + 2.0 = 6.444444444444444e+43
Therefore, the final answer is 6.444444444444444e+43.