2252447688960 has 1080 divisors, whose sum is σ = 9785660955840. Its totient is φ = 484515053568.

The previous prime is 2252447688949. The next prime is 2252447688989. The reversal of 2252447688960 is 698867442522.

2252447688960 is a `hidden beast` number, since 2 + 2 + 5 + 24 + 476 + 8 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 209739271 + ... + 209750009.

Almost surely, 2^{2252447688960} is an apocalyptic number.

2252447688960 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 2252447688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892830477920).

2252447688960 is an abundant number, since it is smaller than the sum of its proper divisors (7533213266880).

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

2252447688960 is a wasteful number, since it uses less digits than its factorization.

2252447688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10813 (or 10773 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 2252447688960 in words is "two trillion, two hundred fifty-two billion, four hundred forty-seven million, six hundred eighty-eight thousand, nine hundred sixty".