2252579202720 has 768 divisors, whose sum is σ = 9855658229760. Its totient is φ = 466819891200.

The previous prime is 2252579202707. The next prime is 2252579202737. The reversal of 2252579202720 is 272029752522.

2252579202720 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 579 + 2 + 0 + 2 + 72 + 0 = 666.

It is a super-2 number, since 2×2252579202720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127392280 + ... + 127409960.

It is an arithmetic number, because the mean of its divisors is an integer number (12832888320).

Almost surely, 2^{2252579202720} is an apocalyptic number.

2252579202720 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 2252579202720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927829114880).

2252579202720 is an abundant number, since it is smaller than the sum of its proper divisors (7603079027040).

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

2252579202720 is a wasteful number, since it uses less digits than its factorization.

2252579202720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18106 (or 18092 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 2252579202720 in words is "two trillion, two hundred fifty-two billion, five hundred seventy-nine million, two hundred two thousand, seven hundred twenty".