2565560 has 32 divisors (see below), whose sum is σ = 5961600. Its totient is φ = 992640.

The previous prime is 2565559. The next prime is 2565569. The reversal of 2565560 is 655652.

2565560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2565560² = 13164196227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565569) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 206 + ... + 2274.

It is an arithmetic number, because the mean of its divisors is an integer number (186300).

2^2565560 is an apocalyptic number.

2565560 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 2565560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980800).

2565560 is an abundant number, since it is smaller than the sum of its proper divisors (3396040).

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

2565560 is a wasteful number, since it uses less digits than its factorization.

2565560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 2565560 is about 1601.7365576149. The cubic root of 2565560 is about 136.8970402294.

It can be divided in two parts, 2565 and 560, that added together give a 5-th power (3125 = 5⁵).

The spelling of 2565560 in words is "two million, five hundred sixty-five thousand, five hundred sixty".