2252331758250 has 768 divisors, whose sum is σ = 7981800652800. Its totient is φ = 466487683200.

The previous prime is 2252331758249. The next prime is 2252331758291. The reversal of 2252331758250 is 528571332522.

2252331758250 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 3 + 3 + 17 + 582 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2252331758196 and 2252331758205.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 144529959 + ... + 144545541.

It is an arithmetic number, because the mean of its divisors is an integer number (10392969600).

Almost surely, 2^{2252331758250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252331758250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990900326400).

2252331758250 is an abundant number, since it is smaller than the sum of its proper divisors (5729468894550).

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

2252331758250 is a wasteful number, since it uses less digits than its factorization.

2252331758250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15665 (or 15642 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2252331758250 in words is "two trillion, two hundred fifty-two billion, three hundred thirty-one million, seven hundred fifty-eight thousand, two hundred fifty".