To solve this expression, we can simplify it step by step:

47 × 256 = 12,032
51 × 256 = 13,056

Now we can add these two results together:

12,032 + 13,056 = 25,088

Finally, we add 2 to this sum:

25,088 + 2 = 25,090

Therefore, 47 × 256 + 51 × 256 + 2 equals 25,090.