2565120 has 88 divisors (see below), whose sum is σ = 8253504. Its totient is φ = 679936.

The previous prime is 2565109. The next prime is 2565139. The reversal of 2565120 is 215652.

It is a super-2 number, since 2×2565120² = 13159681228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15277 + ... + 15443.

2^2565120 is an apocalyptic number.

2565120 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 2565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126752).

2565120 is an abundant number, since it is smaller than the sum of its proper divisors (5688384).

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

2565120 is a wasteful number, since it uses less digits than its factorization.

2565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2565120 is about 1601.5992007990. The cubic root of 2565120 is about 136.8892137196.

The spelling of 2565120 in words is "two million, five hundred sixty-five thousand, one hundred twenty".