2564540403441 has 8 divisors (see below), whose sum is σ = 3477342920160. Its totient is φ = 1680715744512.

The previous prime is 2564540403419. The next prime is 2564540403463. The reversal of 2564540403441 is 1443040454652.

It is an interprime number because it is at equal distance from previous prime (2564540403419) and next prime (2564540403463).

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

It is not a de Polignac number, because 2564540403441 - 2⁵ = 2564540403409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2564540403393 and 2564540403402.

It is not an unprimeable number, because it can be changed into a prime (2564540403401) 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, 7244464240 + ... + 7244464593.

It is an arithmetic number, because the mean of its divisors is an integer number (434667865020).

Almost surely, 2^{2564540403441} is an apocalyptic number.

It is an amenable number.

2564540403441 is a deficient number, since it is larger than the sum of its proper divisors (912802516719).

2564540403441 is a wasteful number, since it uses less digits than its factorization.

2564540403441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14488928895.

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 2564540403441 in words is "two trillion, five hundred sixty-four billion, five hundred forty million, four hundred three thousand, four hundred forty-one".