2564540401 has 8 divisors (see below), whose sum is σ = 2587599360. Its totient is φ = 2541544608.

The previous prime is 2564540399. The next prime is 2564540413. The reversal of 2564540401 is 1040454652.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2564540401 - 2¹ = 2564540399 is a prime.

It is a super-2 number, since 2×2564540401² = 13153734936722481602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564540431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67740 + ... + 98578.

It is an arithmetic number, because the mean of its divisors is an integer number (323449920).

Almost surely, 2^2564540401 is an apocalyptic number.

It is an amenable number.

2564540401 is a deficient number, since it is larger than the sum of its proper divisors (23058959).

2564540401 is a wasteful number, since it uses less digits than its factorization.

2564540401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31583.

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 2564540401 is about 50641.2914626000. The cubic root of 2564540401 is about 1368.7890272338.

The spelling of 2564540401 in words is "two billion, five hundred sixty-four million, five hundred forty thousand, four hundred one".