2553232992 has 96 divisors (see below), whose sum is σ = 7134511104. Its totient is φ = 796723200.

The previous prime is 2553232963. The next prime is 2553232999. The reversal of 2553232992 is 2992323552.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2553232992² = 13037997422874544128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553232999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307617 + ... + 315807.

It is an arithmetic number, because the mean of its divisors is an integer number (74317824).

Almost surely, 2^2553232992 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 2553232992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567255552).

2553232992 is an abundant number, since it is smaller than the sum of its proper divisors (4581278112).

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

2553232992 is a wasteful number, since it uses less digits than its factorization.

2553232992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412 (or 8404 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 2553232992 is about 50529.5259427594. The cubic root of 2553232992 is about 1366.7743373694.

The spelling of 2553232992 in words is "two billion, five hundred fifty-three million, two hundred thirty-two thousand, nine hundred ninety-two".