2566627632 has 120 divisors (see below), whose sum is σ = 7643104560. Its totient is φ = 801239040.

The previous prime is 2566627619. The next prime is 2566627667. The reversal of 2566627632 is 2367266652.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 514044 + ... + 519012.

It is an arithmetic number, because the mean of its divisors is an integer number (63692538).

Almost surely, 2^2566627632 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 2566627632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821552280).

2566627632 is an abundant number, since it is smaller than the sum of its proper divisors (5076476928).

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

2566627632 is a wasteful number, since it uses less digits than its factorization.

2566627632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5211 (or 5202 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 2566627632 is about 50661.8952665610. The cubic root of 2566627632 is about 1369.1602703825.

The spelling of 2566627632 in words is "two billion, five hundred sixty-six million, six hundred twenty-seven thousand, six hundred thirty-two".