2566920456 has 160 divisors (see below), whose sum is σ = 7464441600. Its totient is φ = 823530240.

The previous prime is 2566920449. The next prime is 2566920469. The reversal of 2566920456 is 6540296652.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2098261 + ... + 2099483.

It is an arithmetic number, because the mean of its divisors is an integer number (46652760).

Almost surely, 2^2566920456 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 2566920456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732220800).

2566920456 is an abundant number, since it is smaller than the sum of its proper divisors (4897521144).

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

2566920456 is a wasteful number, since it uses less digits than its factorization.

2566920456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 2566920456 is about 50664.7851668198. The cubic root of 2566920456 is about 1369.2123371147.

The spelling of 2566920456 in words is "two billion, five hundred sixty-six million, nine hundred twenty thousand, four hundred fifty-six".