2553607296 has 384 divisors, whose sum is σ = 8353800000. Its totient is φ = 773369856.

The previous prime is 2553607289. The next prime is 2553607339. The reversal of 2553607296 is 6927063552.

2553607296 is a `hidden beast` number, since 2 + 553 + 6 + 0 + 7 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17138230 + ... + 17138378.

Almost surely, 2^2553607296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553607296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176900000).

2553607296 is an abundant number, since it is smaller than the sum of its proper divisors (5800192704).

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

2553607296 is a wasteful number, since it uses less digits than its factorization.

2553607296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 2553607296 is about 50533.2296217054. The cubic root of 2553607296 is about 1366.8411238196.

The spelling of 2553607296 in words is "two billion, five hundred fifty-three million, six hundred seven thousand, two hundred ninety-six".