Alright, let's work through 2562 times 2506 step by step
2562 × 2506 = 2506 × (2562)
+ 2506 × 2 giving us 5012
+ 2506 × 60 yielding 150360
+ 2506 × 500 that equals 1253000
+ 2506 × 2000 that results in 5012000

= 6420372
