2252325897600 has 384 divisors, whose sum is σ = 7523839872000. Its totient is φ = 592123084800.

The previous prime is 2252325897581. The next prime is 2252325897637. The reversal of 2252325897600 is 67985232522.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613543765 + ... + 613547435.

It is an arithmetic number, because the mean of its divisors is an integer number (19593333000).

Almost surely, 2^{2252325897600} is an apocalyptic number.

2252325897600 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 2252325897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761919936000).

2252325897600 is an abundant number, since it is smaller than the sum of its proper divisors (5271513974400).

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

2252325897600 is a wasteful number, since it uses less digits than its factorization.

2252325897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 2252325897600 in words is "two trillion, two hundred fifty-two billion, three hundred twenty-five million, eight hundred ninety-seven thousand, six hundred".