2687680 has 56 divisors (see below), whose sum is σ = 6601968. Its totient is φ = 1041408.

The previous prime is 2687677. The next prime is 2687723. The reversal of 2687680 is 867862.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 11727 + ... + 11953.

2^2687680 is an apocalyptic number.

2687680 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 2687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300984).

2687680 is an abundant number, since it is smaller than the sum of its proper divisors (3914288).

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

2687680 is a wasteful number, since it uses less digits than its factorization.

2687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 2687680 is about 1639.4145296416. The cubic root of 2687680 is about 139.0355480739.

The spelling of 2687680 in words is "two million, six hundred eighty-seven thousand, six hundred eighty".