2568320 has 32 divisors (see below), whose sum is σ = 6141420. Its totient is φ = 1027072.

The previous prime is 2568299. The next prime is 2568323. The reversal of 2568320 is 238652.

It can be written as a sum of positive squares in 2 ways, for example, as 2534464 + 33856 = 1592^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2568320.

It is not an unprimeable number, because it can be changed into a prime (2568323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1367 + ... + 2646.

2^2568320 is an apocalyptic number.

2568320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2568320 is an abundant number, since it is smaller than the sum of its proper divisors (3573100).

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

2568320 is an equidigital number, since it uses as much as digits as its factorization.

2568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2568320 is about 1602.5978909259. The cubic root of 2568320 is about 136.9461133910.

The spelling of 2568320 in words is "two million, five hundred sixty-eight thousand, three hundred twenty".