2568616960 has 352 divisors, whose sum is σ = 7840828800. Its totient is φ = 785645568.

The previous prime is 2568616943. The next prime is 2568616961. The reversal of 2568616960 is 696168652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568616961) 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 31 ways as a sum of consecutive naturals, for example, 17238966 + ... + 17239114.

Almost surely, 2^2568616960 is an apocalyptic number.

2568616960 is a gapful number since it is divisible by the number (20) 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 2568616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920414400).

2568616960 is an abundant number, since it is smaller than the sum of its proper divisors (5272211840).

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

2568616960 is a wasteful number, since it uses less digits than its factorization.

2568616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The square root of 2568616960 is about 50681.5248389391. The cubic root of 2568616960 is about 1369.5139128352.

The spelling of 2568616960 in words is "two billion, five hundred sixty-eight million, six hundred sixteen thousand, nine hundred sixty".