2152192320000 has 1200 divisors, whose sum is σ = 8398954724160. Its totient is φ = 528519168000.

The previous prime is 2152192319989. The next prime is 2152192320001. The reversal of 2152192320000 is 232912512.

It is a happy number.

2152192320000 is a `hidden beast` number, since 2 + 152 + 192 + 320 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is not an unprimeable number, because it can be changed into a prime (2152192320001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2024639469 + ... + 2024640531.

Almost surely, 2^{2152192320000} is an apocalyptic number.

2152192320000 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 2152192320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199477362080).

2152192320000 is an abundant number, since it is smaller than the sum of its proper divisors (6246762404160).

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

2152192320000 is a wasteful number, since it uses less digits than its factorization.

2152192320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 2152192320000 in words is "two trillion, one hundred fifty-two billion, one hundred ninety-two million, three hundred twenty thousand".