2564917245 has 224 divisors, whose sum is σ = 5507460864. Its totient is φ = 1132185600.

The previous prime is 2564917241. The next prime is 2564917291. The reversal of 2564917245 is 5427194652.

2564917245 is a `hidden beast` number, since 2 + 56 + 491 + 72 + 45 = 666.

It is not a de Polignac number, because 2564917245 - 2² = 2564917241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (604800) is a multiple of the sum of its prime divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 2564917245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564917241) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 36125560 + ... + 36125630.

Almost surely, 2^2564917245 is an apocalyptic number.

It is an amenable number.

2564917245 is an abundant number, since it is smaller than the sum of its proper divisors (2942543619).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2564917245 is a wasteful number, since it uses less digits than its factorization.

2564917245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 2564917245 is about 50645.0120446229. The cubic root of 2564917245 is about 1368.8560690929.

The spelling of 2564917245 in words is "two billion, five hundred sixty-four million, nine hundred seventeen thousand, two hundred forty-five".