2536640 has 28 divisors (see below), whose sum is σ = 6041136. Its totient is φ = 1014528.

The previous prime is 2536631. The next prime is 2536643. The reversal of 2536640 is 466352.

It is a d-powerful number, because it can be written as 2²¹ + 5³ + 3¹¹ + 6² + 6² + 4⁹ + 0 .

It is not an unprimeable number, because it can be changed into a prime (2536643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3644 + ... + 4283.

2^2536640 is an apocalyptic number.

2536640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2536640 is an abundant number, since it is smaller than the sum of its proper divisors (3504496).

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

2536640 is an equidigital number, since it uses as much as digits as its factorization.

2536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944 (or 7934 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 2536640 is about 1592.6832704590. The cubic root of 2536640 is about 136.3807095121.

The spelling of 2536640 in words is "two million, five hundred thirty-six thousand, six hundred forty".