2272168176000 has 512 divisors, whose sum is σ = 7777561559040. Its totient is φ = 586414080000.

The previous prime is 2272168175947. The next prime is 2272168176037. The reversal of 2272168176000 is 6718612722.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249931455 + ... + 249940545.

It is an arithmetic number, because the mean of its divisors is an integer number (15190549920).

Almost surely, 2^{2272168176000} is an apocalyptic number.

2272168176000 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 2272168176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888780779520).

2272168176000 is an abundant number, since it is smaller than the sum of its proper divisors (5505393383040).

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

2272168176000 is a wasteful number, since it uses less digits than its factorization.

2272168176000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9291 (or 9269 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 2272168176000 in words is "two trillion, two hundred seventy-two billion, one hundred sixty-eight million, one hundred seventy-six thousand".