2564531718 has 48 divisors (see below), whose sum is σ = 6012097344. Its totient is φ = 727119120.

The previous prime is 2564531681. The next prime is 2564531771. The reversal of 2564531718 is 8171354652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2564531718.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5221 + ... + 71807.

It is an arithmetic number, because the mean of its divisors is an integer number (125252028).

Almost surely, 2^2564531718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564531718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006048672).

2564531718 is an abundant number, since it is smaller than the sum of its proper divisors (3447565626).

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

2564531718 is a wasteful number, since it uses less digits than its factorization.

2564531718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66737 (or 66730 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 2564531718 is about 50641.2057320913. The cubic root of 2564531718 is about 1368.7874824205.

The spelling of 2564531718 in words is "two billion, five hundred sixty-four million, five hundred thirty-one thousand, seven hundred eighteen".