2565830432 has 96 divisors (see below), whose sum is σ = 5603338944. Its totient is φ = 1146880000.

The previous prime is 2565830411. The next prime is 2565830467. The reversal of 2565830432 is 2340385652.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9983648 + ... + 9983904.

It is an arithmetic number, because the mean of its divisors is an integer number (58368114).

Almost surely, 2^2565830432 is an apocalyptic number.

2565830432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565830432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801669472).

2565830432 is an abundant number, since it is smaller than the sum of its proper divisors (3037508512).

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

2565830432 is a wasteful number, since it uses less digits than its factorization.

2565830432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 2565830432 is about 50654.0268093268. The cubic root of 2565830432 is about 1369.0185010064.

The spelling of 2565830432 in words is "two billion, five hundred sixty-five million, eight hundred thirty thousand, four hundred thirty-two".