2553416856 has 48 divisors (see below), whose sum is σ = 6922773000. Its totient is φ = 850244352.

The previous prime is 2553416851. The next prime is 2553416869. The reversal of 2553416856 is 6586143552.

2553416856 is a `hidden beast` number, since 2 + 5 + 534 + 1 + 68 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553416851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52195 + ... + 88493.

Almost surely, 2^2553416856 is an apocalyptic number.

It is an amenable number.

2553416856 is an abundant number, since it is smaller than the sum of its proper divisors (4369356144).

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

2553416856 is a wasteful number, since it uses less digits than its factorization.

2553416856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37288 (or 37281 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 2553416856 is about 50531.3452819139. The cubic root of 2553416856 is about 1366.8071447377.

The spelling of 2553416856 in words is "two billion, five hundred fifty-three million, four hundred sixteen thousand, eight hundred fifty-six".