2564561466 has 64 divisors (see below), whose sum is σ = 5956675200. Its totient is φ = 816818688.

The previous prime is 2564561453. The next prime is 2564561513. The reversal of 2564561466 is 6641654652.

2564561466 is a `hidden beast` number, since 2 + 56 + 456 + 146 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143461 + ... + 160343.

It is an arithmetic number, because the mean of its divisors is an integer number (93073050).

Almost surely, 2^2564561466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564561466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978337600).

2564561466 is an abundant number, since it is smaller than the sum of its proper divisors (3392113734).

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

2564561466 is a wasteful number, since it uses less digits than its factorization.

2564561466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17020 (or 17014 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 2564561466 is about 50641.4994446255. The cubic root of 2564561466 is about 1368.7927749440.

The spelling of 2564561466 in words is "two billion, five hundred sixty-four million, five hundred sixty-one thousand, four hundred sixty-six".