2686580 has 24 divisors (see below), whose sum is σ = 6076392. Its totient is φ = 991872.

The previous prime is 2686577. The next prime is 2686591. The reversal of 2686580 is 856862.

It can be written as a sum of positive squares in 4 ways, for example, as 164836 + 2521744 = 406^2 + 1588^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2686580.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4907 + ... + 5426.

It is an arithmetic number, because the mean of its divisors is an integer number (253183).

2^2686580 is an apocalyptic number.

2686580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2686580 is an abundant number, since it is smaller than the sum of its proper divisors (3389812).

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

2686580 is a wasteful number, since it uses less digits than its factorization.

2686580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10355 (or 10353 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 2686580 is about 1639.0790096881. The cubic root of 2686580 is about 139.0165775650.

The spelling of 2686580 in words is "two million, six hundred eighty-six thousand, five hundred eighty".