2587640 has 32 divisors (see below), whose sum is σ = 6352560. Its totient is φ = 940800.

The previous prime is 2587639. The next prime is 2587649. The reversal of 2587640 is 467852.

It is a junction number, because it is equal to n+sod(n) for n = 2587597 and 2587606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2501 + ... + 3380.

2^2587640 is an apocalyptic number.

2587640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2587640 is an abundant number, since it is smaller than the sum of its proper divisors (3764920).

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

2587640 is a wasteful number, since it uses less digits than its factorization.

2587640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2587640 is about 1608.6143105170. The cubic root of 2587640 is about 137.2886449838.

The spelling of 2587640 in words is "two million, five hundred eighty-seven thousand, six hundred forty".