2568668652 has 192 divisors, whose sum is σ = 7743859200. Its totient is φ = 727695360.

The previous prime is 2568668651. The next prime is 2568668671.

2568668652 is nontrivially palindromic in base 10.

2568668652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2568668651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3897499 + ... + 3898157.

It is an arithmetic number, because the mean of its divisors is an integer number (40332600).

Almost surely, 2^2568668652 is an apocalyptic number.

2568668652 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 2568668652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871929600).

2568668652 is an abundant number, since it is smaller than the sum of its proper divisors (5175190548).

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

2568668652 is a wasteful number, since it uses less digits than its factorization.

2568668652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 885 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 2568668652 is about 50682.0348052444. The cubic root of 2568668652 is about 1369.5230996777.

The spelling of 2568668652 in words is "two billion, five hundred sixty-eight million, six hundred sixty-eight thousand, six hundred fifty-two".