Alright, let's work through 2556 times 1771 step by step
2556 × 1771 = 1771 × (2556)
+ 1771 × 6 yielding 10626
+ 1771 × 50 what gives us 88550
+ 1771 × 500 that is equal 885500
+ 1771 × 2000 that is equal 3542000

= 4526676
