2565360 has 120 divisors (see below), whose sum is σ = 9865440. Its totient is φ = 585216.

The previous prime is 2565349. The next prime is 2565377. The reversal of 2565360 is 635652.

2565360 is a `hidden beast` number, since 2 + 5 + 653 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4786 + ... + 5294.

It is an arithmetic number, because the mean of its divisors is an integer number (82212).

2^2565360 is an apocalyptic number.

2565360 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 2565360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932720).

2565360 is an abundant number, since it is smaller than the sum of its proper divisors (7300080).

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

2565360 is a wasteful number, since it uses less digits than its factorization.

2565360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2565360 is about 1601.6741241588. The cubic root of 2565360 is about 136.8934828359.

The spelling of 2565360 in words is "two million, five hundred sixty-five thousand, three hundred sixty".