2536560 has 120 divisors (see below), whose sum is σ = 9207744. Its totient is φ = 622080.

The previous prime is 2536559. The next prime is 2536561. The reversal of 2536560 is 656352.

2536560 is a `hidden beast` number, since 2 + 5 + 3 + 656 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2536559) and next prime (2536561).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2536561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9225 + ... + 9495.

2^2536560 is an apocalyptic number.

2536560 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 2536560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603872).

2536560 is an abundant number, since it is smaller than the sum of its proper divisors (6671184).

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

2536560 is a wasteful number, since it uses less digits than its factorization.

2536560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

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

The square root of 2536560 is about 1592.6581554119. The cubic root of 2536560 is about 136.3792757820.

It can be divided in two parts, 25365 and 60, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 2536560 in words is "two million, five hundred thirty-six thousand, five hundred sixty".