2553965256 has 192 divisors, whose sum is σ = 7171822080. Its totient is φ = 756449280.

The previous prime is 2553965231. The next prime is 2553965279. The reversal of 2553965256 is 6525693552.

It is a congruent number.

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, 9937480 + ... + 9937736.

It is an arithmetic number, because the mean of its divisors is an integer number (37353240).

Almost surely, 2^2553965256 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 2553965256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585911040).

2553965256 is an abundant number, since it is smaller than the sum of its proper divisors (4617856824).

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

2553965256 is a wasteful number, since it uses less digits than its factorization.

2553965256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 349 counting only the distinct ones).

The product of its digits is 2430000, while the sum is 48.

The square root of 2553965256 is about 50536.7713254418. The cubic root of 2553965256 is about 1366.9049879318.

The spelling of 2553965256 in words is "two billion, five hundred fifty-three million, nine hundred sixty-five thousand, two hundred fifty-six".