2252587075200 has 2592 divisors, whose sum is σ = 10609481619360. Its totient is φ = 449971200000.

The previous prime is 2252587075183. The next prime is 2252587075283. The reversal of 2252587075200 is 25707852522.

2252587075200 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 58 + 70 + 7 + 520 + 0 = 666.

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 323 ways as a sum of consecutive naturals, for example, 14917795125 + ... + 14917795275.

It is an arithmetic number, because the mean of its divisors is an integer number (4093164205).

Almost surely, 2^{2252587075200} is an apocalyptic number.

2252587075200 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 2252587075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304740809680).

2252587075200 is an abundant number, since it is smaller than the sum of its proper divisors (8356894544160).

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

2252587075200 is a wasteful number, since it uses less digits than its factorization.

2252587075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 2252587075200 in words is "two trillion, two hundred fifty-two billion, five hundred eighty-seven million, seventy-five thousand, two hundred".