2252447568 has 320 divisors, whose sum is σ = 7856640000. Its totient is φ = 603542016.

The previous prime is 2252447567. The next prime is 2252447653. The reversal of 2252447568 is 8657442522.

2252447568 is a `hidden beast` number, since 2 + 25 + 24 + 47 + 568 = 666.

It is a super-2 number, since 2×2252447568² = 10147040093178229248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252447567) 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 63 ways as a sum of consecutive naturals, for example, 11318733 + ... + 11318931.

It is an arithmetic number, because the mean of its divisors is an integer number (24552000).

Almost surely, 2^2252447568 is an apocalyptic number.

2252447568 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 2252447568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928320000).

2252447568 is an abundant number, since it is smaller than the sum of its proper divisors (5604192432).

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

2252447568 is a wasteful number, since it uses less digits than its factorization.

2252447568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 427 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 2252447568 is about 47459.9575221049. The cubic root of 2252447568 is about 1310.8456688291.

The spelling of 2252447568 in words is "two billion, two hundred fifty-two million, four hundred forty-seven thousand, five hundred sixty-eight".