2553454656 has 84 divisors (see below), whose sum is σ = 7516890732. Its totient is φ = 828140544.

The previous prime is 2553454649. The next prime is 2553454711. The reversal of 2553454656 is 6564543552.

2553454656 is a `hidden beast` number, since 2 + 5 + 53 + 4 + 546 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1876622400 + 676832256 = 43320^2 + 26016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38595 + ... + 81218.

Almost surely, 2^2553454656 is an apocalyptic number.

It is an amenable number.

2553454656 is an abundant number, since it is smaller than the sum of its proper divisors (4963436076).

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

2553454656 is a wasteful number, since it uses less digits than its factorization.

2553454656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119868 (or 119855 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 45.

The square root of 2553454656 is about 50531.7193057984. The cubic root of 2553454656 is about 1366.8138893023.

The spelling of 2553454656 in words is "two billion, five hundred fifty-three million, four hundred fifty-four thousand, six hundred fifty-six".