2566064256 has 128 divisors (see below), whose sum is σ = 8000684160. Its totient is φ = 713318400.

The previous prime is 2566064243. The next prime is 2566064257. The reversal of 2566064256 is 6524606652.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (2566064257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86556 + ... + 112356.

It is an arithmetic number, because the mean of its divisors is an integer number (62505345).

Almost surely, 2^2566064256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2566064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000342080).

2566064256 is an abundant number, since it is smaller than the sum of its proper divisors (5434619904).

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

2566064256 is a wasteful number, since it uses less digits than its factorization.

2566064256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25862 (or 25850 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 2566064256 is about 50656.3348062214. The cubic root of 2566064256 is about 1369.0600859393.

The spelling of 2566064256 in words is "two billion, five hundred sixty-six million, sixty-four thousand, two hundred fifty-six".