2568640 has 56 divisors (see below), whose sum is σ = 6400800. Its totient is φ = 979968.

The previous prime is 2568623. The next prime is 2568641. The reversal of 2568640 is 468652.

2568640 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×2568640² = 13195822899200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7186 + ... + 7534.

It is an arithmetic number, because the mean of its divisors is an integer number (114300).

2^2568640 is an apocalyptic number.

2568640 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 2568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200400).

2568640 is an abundant number, since it is smaller than the sum of its proper divisors (3832160).

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

2568640 is a wasteful number, since it uses less digits than its factorization.

2568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2568640 is about 1602.6977257112. The cubic root of 2568640 is about 136.9518007582.

The spelling of 2568640 in words is "two million, five hundred sixty-eight thousand, six hundred forty".