2564083624271 has 24 divisors (see below), whose sum is σ = 2911453870080. Its totient is φ = 2242112535936.

The previous prime is 2564083624187. The next prime is 2564083624283. The reversal of 2564083624271 is 1724263804652.

It is a de Polignac number, because none of the positive numbers 2^k-2564083624271 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564083024271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151631 + ... + 2269616.

It is an arithmetic number, because the mean of its divisors is an integer number (121310577920).

Almost surely, 2^{2564083624271} is an apocalyptic number.

2564083624271 is a deficient number, since it is larger than the sum of its proper divisors (347370245809).

2564083624271 is a wasteful number, since it uses less digits than its factorization.

2564083624271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421395 (or 2421342 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

The spelling of 2564083624271 in words is "two trillion, five hundred sixty-four billion, eighty-three million, six hundred twenty-four thousand, two hundred seventy-one".