2252965077504 has 240 divisors, whose sum is σ = 6666233333760. Its totient is φ = 732074065920.

The previous prime is 2252965077497. The next prime is 2252965077511. The reversal of 2252965077504 is 4057705692522.

2252965077504 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 9 + 65 + 0 + 77 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (2252965077497) and next prime (2252965077511).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271863249 + ... + 271871535.

It is an arithmetic number, because the mean of its divisors is an integer number (27775972224).

Almost surely, 2^{2252965077504} is an apocalyptic number.

2252965077504 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 2252965077504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333116666880).

2252965077504 is an abundant number, since it is smaller than the sum of its proper divisors (4413268256256).

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

2252965077504 is a wasteful number, since it uses less digits than its factorization.

2252965077504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9791 (or 9772 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 2252965077504 in words is "two trillion, two hundred fifty-two billion, nine hundred sixty-five million, seventy-seven thousand, five hundred four".