2556580 has 24 divisors (see below), whose sum is σ = 5782392. Its totient is φ = 943872.

The previous prime is 2556577. The next prime is 2556607. The reversal of 2556580 is 856552.

It can be written as a sum of positive squares in 4 ways, for example, as 47524 + 2509056 = 218^2 + 1584^2 .

It is a super-2 number, since 2×2556580² = 13072202592800, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

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, 4657 + ... + 5176.

It is an arithmetic number, because the mean of its divisors is an integer number (240933).

2^2556580 is an apocalyptic number.

2556580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2556580 is an abundant number, since it is smaller than the sum of its proper divisors (3225812).

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

2556580 is a wasteful number, since it uses less digits than its factorization.

2556580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9855 (or 9853 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 2556580 is about 1598.9308928156. The cubic root of 2556580 is about 136.7371306934.

It can be divided in two parts, 2556 and 580, that added together give a square (3136 = 56²).

The spelling of 2556580 in words is "two million, five hundred fifty-six thousand, five hundred eighty".