2232093907680 has 1536 divisors, whose sum is σ = 9507107635200. Its totient is φ = 426995712000.

The previous prime is 2232093907651. The next prime is 2232093907697. The reversal of 2232093907680 is 867093902322.

It is a super-3 number, since 3×2232093907680³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2598479091 + ... + 2598479949.

It is an arithmetic number, because the mean of its divisors is an integer number (6189523200).

Almost surely, 2^{2232093907680} is an apocalyptic number.

2232093907680 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 2232093907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753553817600).

2232093907680 is an abundant number, since it is smaller than the sum of its proper divisors (7275013727520).

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

2232093907680 is a wasteful number, since it uses less digits than its factorization.

2232093907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 2232093907680 in words is "two trillion, two hundred thirty-two billion, ninety-three million, nine hundred seven thousand, six hundred eighty".