2564402641 has 4 divisors (see below), whose sum is σ = 2675898432. Its totient is φ = 2452906852.

The previous prime is 2564402629. The next prime is 2564402663. The reversal of 2564402641 is 1462044652.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 2564402641 - 2⁷ = 2564402513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2564402597 and 2564402606.

It is not an unprimeable number, because it can be changed into a prime (2564402671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55747861 + ... + 55747906.

It is an arithmetic number, because the mean of its divisors is an integer number (668974608).

Almost surely, 2^2564402641 is an apocalyptic number.

It is an amenable number.

2564402641 is a deficient number, since it is larger than the sum of its proper divisors (111495791).

2564402641 is a wasteful number, since it uses less digits than its factorization.

2564402641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111495790.

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 2564402641 is about 50639.9312894479. The cubic root of 2564402641 is about 1368.7645176111.

It can be divided in two parts, 256440 and 2641, that added together give a square (259081 = 509²).

The spelling of 2564402641 in words is "two billion, five hundred sixty-four million, four hundred two thousand, six hundred forty-one".