2556956160 has 800 divisors, whose sum is σ = 10694851200. Its totient is φ = 577290240.

The previous prime is 2556956153. The next prime is 2556956173. The reversal of 2556956160 is 616596552.

2556956160 is a `hidden beast` number, since 2 + 556 + 95 + 6 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43338211 + ... + 43338269.

It is an arithmetic number, because the mean of its divisors is an integer number (13368564).

Almost surely, 2^2556956160 is an apocalyptic number.

2556956160 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 2556956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347425600).

2556956160 is an abundant number, since it is smaller than the sum of its proper divisors (8137895040).

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

2556956160 is a wasteful number, since it uses less digits than its factorization.

2556956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 2556956160 is about 50566.3540311144. The cubic root of 2556956160 is about 1367.4383659432.

The spelling of 2556956160 in words is "two billion, five hundred fifty-six million, nine hundred fifty-six thousand, one hundred sixty".