2566789632 has 240 divisors, whose sum is σ = 8196439680. Its totient is φ = 766771200.

The previous prime is 2566789619. The next prime is 2566789639. The reversal of 2566789632 is 2369876652.

2566789632 is a `hidden beast` number, since 2 + 566 + 78 + 9 + 6 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2566789639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4004032 + ... + 4004672.

It is an arithmetic number, because the mean of its divisors is an integer number (34151832).

Almost surely, 2^2566789632 is an apocalyptic number.

2566789632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2566789632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098219840).

2566789632 is an abundant number, since it is smaller than the sum of its proper divisors (5629650048).

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

2566789632 is a wasteful number, since it uses less digits than its factorization.

2566789632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 736 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 2566789632 is about 50663.4940761097. The cubic root of 2566789632 is about 1369.1890759241.

The spelling of 2566789632 in words is "two billion, five hundred sixty-six million, seven hundred eighty-nine thousand, six hundred thirty-two".