2564181 has 12 divisors (see below), whose sum is σ = 3794700. Its totient is φ = 1667520.

The previous prime is 2564171. The next prime is 2564203. The reversal of 2564181 is 1814652.

It can be written as a sum of positive squares in 2 ways, for example, as 1102500 + 1461681 = 1050^2 + 1209^2 .

It is not a de Polignac number, because 2564181 - 2⁶ = 2564117 is a prime.

It is a super-2 number, since 2×2564181² = 13150048401522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3106 + ... + 3843.

It is an arithmetic number, because the mean of its divisors is an integer number (316225).

2^2564181 is an apocalyptic number.

It is an amenable number.

2564181 is a deficient number, since it is larger than the sum of its proper divisors (1230519).

2564181 is a wasteful number, since it uses less digits than its factorization.

2564181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6993 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 2564181 is about 1601.3060294647. The cubic root of 2564181 is about 136.8725082426.

The spelling of 2564181 in words is "two million, five hundred sixty-four thousand, one hundred eighty-one".