2332256467200 has 864 divisors, whose sum is σ = 8735624634240. Its totient is φ = 542795366400.

The previous prime is 2332256467193. The next prime is 2332256467213. The reversal of 2332256467200 is 27646522332.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1182085414 + ... + 1182087386.

It is an arithmetic number, because the mean of its divisors is an integer number (10110676660).

Almost surely, 2^{2332256467200} is an apocalyptic number.

2332256467200 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 2332256467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367812317120).

2332256467200 is an abundant number, since it is smaller than the sum of its proper divisors (6403368167040).

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

2332256467200 is a wasteful number, since it uses less digits than its factorization.

2332256467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 2332256467200 in words is "two trillion, three hundred thirty-two billion, two hundred fifty-six million, four hundred sixty-seven thousand, two hundred".