2536320 has 64 divisors (see below), whose sum is σ = 8090640. Its totient is φ = 675840.

The previous prime is 2536309. The next prime is 2536343. The reversal of 2536320 is 236352.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 1260 + ... + 2580.

2^2536320 is an apocalyptic number.

2536320 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 2536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045320).

2536320 is an abundant number, since it is smaller than the sum of its proper divisors (5554320).

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

2536320 is a wasteful number, since it uses less digits than its factorization.

2536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 2536320 is about 1592.5828078941. The cubic root of 2536320 is about 136.3749744108.

Subtracting from 2536320 its reverse (236352), we obtain a cube (2299968 = 132³).

The spelling of 2536320 in words is "two million, five hundred thirty-six thousand, three hundred twenty".