2592896320 has 112 divisors (see below), whose sum is σ = 7098231168. Its totient is φ = 883722240.

The previous prime is 2592896297. The next prime is 2592896347. The reversal of 2592896320 is 236982952.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2592896320² = 13446222652539084800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384175 + ... + 390865.

It is an arithmetic number, because the mean of its divisors is an integer number (63377064).

Almost surely, 2^2592896320 is an apocalyptic number.

2592896320 is a gapful number since it is divisible by the number (20) 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 2592896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549115584).

2592896320 is an abundant number, since it is smaller than the sum of its proper divisors (4505334848).

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

2592896320 is a wasteful number, since it uses less digits than its factorization.

2592896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 2592896320 is about 50920.4901783162. The cubic root of 2592896320 is about 1373.8154108209.

The spelling of 2592896320 in words is "two billion, five hundred ninety-two million, eight hundred ninety-six thousand, three hundred twenty".