2252704585800 has 192 divisors, whose sum is σ = 7082080646400. Its totient is φ = 592281088000.

The previous prime is 2252704585799. The next prime is 2252704585811. The reversal of 2252704585800 is 85854072522.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2252704585800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14405632 + ... + 14561168.

It is an arithmetic number, because the mean of its divisors is an integer number (36885836700).

Almost surely, 2^{2252704585800} is an apocalyptic number.

2252704585800 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 2252704585800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541040323200).

2252704585800 is an abundant number, since it is smaller than the sum of its proper divisors (4829376060600).

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

2252704585800 is a wasteful number, since it uses less digits than its factorization.

2252704585800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155896 (or 155887 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 48.

The spelling of 2252704585800 in words is "two trillion, two hundred fifty-two billion, seven hundred four million, five hundred eighty-five thousand, eight hundred".