2252228941800 has 288 divisors, whose sum is σ = 8043966403200. Its totient is φ = 562773411840.

The previous prime is 2252228941771. The next prime is 2252228941849. The reversal of 2252228941800 is 81498222522.

2252228941800 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 228 + 9 + 418 + 0 + 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 71 ways as a sum of consecutive naturals, for example, 6784081 + ... + 7108319.

It is an arithmetic number, because the mean of its divisors is an integer number (27930438900).

Almost surely, 2^{2252228941800} is an apocalyptic number.

2252228941800 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 2252228941800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021983201600).

2252228941800 is an abundant number, since it is smaller than the sum of its proper divisors (5791737461400).

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

2252228941800 is a wasteful number, since it uses less digits than its factorization.

2252228941800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324505 (or 324493 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2252228941800 in words is "two trillion, two hundred fifty-two billion, two hundred twenty-eight million, nine hundred forty-one thousand, eight hundred".