2564520 has 128 divisors (see below), whose sum is σ = 9123840. Its totient is φ = 564480.

The previous prime is 2564519. The next prime is 2564521. The reversal of 2564520 is 254652.

It is an interprime number because it is at equal distance from previous prime (2564519) and next prime (2564521).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2564521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36085 + ... + 36155.

It is an arithmetic number, because the mean of its divisors is an integer number (71280).

2^2564520 is an apocalyptic number.

2564520 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 2564520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561920).

2564520 is an abundant number, since it is smaller than the sum of its proper divisors (6559320).

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

2564520 is a wasteful number, since it uses less digits than its factorization.

2564520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2564520 is about 1601.4118770635. The cubic root of 2564520 is about 136.8785397638.

The spelling of 2564520 in words is "two million, five hundred sixty-four thousand, five hundred twenty".