2252677465872 has 400 divisors, whose sum is σ = 6972070723200. Its totient is φ = 700108738560.

The previous prime is 2252677465757. The next prime is 2252677465877. The reversal of 2252677465872 is 2785647762522.

It is a happy number.

2252677465872 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 6 + 7 + 7 + 46 + 587 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2252677465877) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1764038098 + ... + 1764039374.

It is an arithmetic number, because the mean of its divisors is an integer number (17430176808).

Almost surely, 2^{2252677465872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252677465872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486035361600).

2252677465872 is an abundant number, since it is smaller than the sum of its proper divisors (4719393257328).

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

2252677465872 is a wasteful number, since it uses less digits than its factorization.

2252677465872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2381 counting only the distinct ones).

The product of its digits is 158054400, while the sum is 63.

The spelling of 2252677465872 in words is "two trillion, two hundred fifty-two billion, six hundred seventy-seven million, four hundred sixty-five thousand, eight hundred seventy-two".