2687580 has 144 divisors (see below), whose sum is σ = 9784320. Its totient is φ = 606528.

The previous prime is 2687567. The next prime is 2687593. The reversal of 2687580 is 857862.

It is an interprime number because it is at equal distance from previous prime (2687567) and next prime (2687593).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33981 + ... + 34059.

2^2687580 is an apocalyptic number.

2687580 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 2687580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892160).

2687580 is an abundant number, since it is smaller than the sum of its proper divisors (7096740).

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

2687580 is a wasteful number, since it uses less digits than its factorization.

2687580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2687580 is about 1639.3840306652. The cubic root of 2687580 is about 139.0338236961.

The spelling of 2687580 in words is "two million, six hundred eighty-seven thousand, five hundred eighty".