2556688410 has 48 divisors (see below), whose sum is σ = 6801990624. Its totient is φ = 665927136.

The previous prime is 2556688397. The next prime is 2556688427. The reversal of 2556688410 is 148866552.

2556688410 is a `hidden beast` number, since 2 + 5 + 566 + 8 + 84 + 1 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326452 + ... + 334191.

It is an arithmetic number, because the mean of its divisors is an integer number (141708138).

Almost surely, 2^2556688410 is an apocalyptic number.

2556688410 is an abundant number, since it is smaller than the sum of its proper divisors (4245302214).

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

2556688410 is a wasteful number, since it uses less digits than its factorization.

2556688410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660699 (or 660696 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2556688410 is about 50563.7064503780. The cubic root of 2556688410 is about 1367.3906341377.

The spelling of 2556688410 in words is "two billion, five hundred fifty-six million, six hundred eighty-eight thousand, four hundred ten".