2568252288 has 512 divisors, whose sum is σ = 8930304000. Its totient is φ = 650280960.

The previous prime is 2568252283. The next prime is 2568252311. The reversal of 2568252288 is 8822528652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568252283) 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, 69412206 + ... + 69412242.

It is an arithmetic number, because the mean of its divisors is an integer number (17442000).

Almost surely, 2^2568252288 is an apocalyptic number.

2568252288 is a gapful number since it is divisible by the number (28) 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 2568252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465152000).

2568252288 is an abundant number, since it is smaller than the sum of its proper divisors (6362051712).

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

2568252288 is a wasteful number, since it uses less digits than its factorization.

2568252288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 48.

The square root of 2568252288 is about 50677.9270294277. The cubic root of 2568252288 is about 1369.4490988358.

The spelling of 2568252288 in words is "two billion, five hundred sixty-eight million, two hundred fifty-two thousand, two hundred eighty-eight".