2252568864 has 384 divisors, whose sum is σ = 7871109120. Its totient is φ = 547430400.

The previous prime is 2252568853. The next prime is 2252568937. The reversal of 2252568864 is 4688652522.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6805179 + ... + 6805509.

It is an arithmetic number, because the mean of its divisors is an integer number (20497680).

Almost surely, 2^2252568864 is an apocalyptic number.

2252568864 is a gapful number since it is divisible by the number (24) 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 2252568864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935554560).

2252568864 is an abundant number, since it is smaller than the sum of its proper divisors (5618540256).

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

2252568864 is a wasteful number, since it uses less digits than its factorization.

2252568864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The square root of 2252568864 is about 47461.2353821516. The cubic root of 2252568864 is about 1310.8691984160.

The spelling of 2252568864 in words is "two billion, two hundred fifty-two million, five hundred sixty-eight thousand, eight hundred sixty-four".