2556605520 has 480 divisors, whose sum is σ = 10604535552. Its totient is φ = 538656768.

The previous prime is 2556605473. The next prime is 2556605531. The reversal of 2556605520 is 255066552.

2556605520 is a `hidden beast` number, since 25 + 5 + 6 + 605 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4540759 + ... + 4541321.

Almost surely, 2^2556605520 is an apocalyptic number.

2556605520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556605520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5302267776).

2556605520 is an abundant number, since it is smaller than the sum of its proper divisors (8047930032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2556605520 is a wasteful number, since it uses less digits than its factorization.

2556605520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 2556605520 is about 50562.8867846764. The cubic root of 2556605520 is about 1367.3758566578.

The spelling of 2556605520 in words is "two billion, five hundred fifty-six million, six hundred five thousand, five hundred twenty".