2564180 has 24 divisors (see below), whose sum is σ = 5571720. Its totient is φ = 990080.

The previous prime is 2564171. The next prime is 2564203. The reversal of 2564180 is 814652.

It can be written as a sum of positive squares in 4 ways, for example, as 620944 + 1943236 = 788^2 + 1394^2 .

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, 1631 + ... + 2790.

It is an arithmetic number, because the mean of its divisors is an integer number (232155).

2^2564180 is an apocalyptic number.

2564180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564180 is an abundant number, since it is smaller than the sum of its proper divisors (3007540).

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

2564180 is a wasteful number, since it uses less digits than its factorization.

2564180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2564180 is about 1601.3057172195. The cubic root of 2564180 is about 136.8724904497.

It can be divided in two parts, 2564 and 180, that added together give a cube (2744 = 14³).

The spelling of 2564180 in words is "two million, five hundred sixty-four thousand, one hundred eighty".