2592130464 has 384 divisors, whose sum is σ = 9638092800. Its totient is φ = 658160640.

The previous prime is 2592130459. The next prime is 2592130507. The reversal of 2592130464 is 4640312952.

It is a happy number.

2592130464 is a `hidden beast` number, since 2 + 592 + 1 + 3 + 0 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3126402 + ... + 3127230.

It is an arithmetic number, because the mean of its divisors is an integer number (25099200).

Almost surely, 2^2592130464 is an apocalyptic number.

2592130464 is a gapful number since it is divisible by the number (24) 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 2592130464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819046400).

2592130464 is an abundant number, since it is smaller than the sum of its proper divisors (7045962336).

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

2592130464 is a wasteful number, since it uses less digits than its factorization.

2592130464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2592130464 is about 50912.9695067966. The cubic root of 2592130464 is about 1373.6801375907.

The spelling of 2592130464 in words is "two billion, five hundred ninety-two million, one hundred thirty thousand, four hundred sixty-four".