2232079082496 has 704 divisors, whose sum is σ = 7077615494400. Its totient is φ = 693633024000.

The previous prime is 2232079082489. The next prime is 2232079082507. The reversal of 2232079082496 is 6942809702322.

2232079082496 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 0 + 79 + 0 + 82 + 496 = 666.

It is a super-3 number, since 3×2232079082496³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3482182336 + ... + 3482182976.

It is an arithmetic number, because the mean of its divisors is an integer number (10053431100).

Almost surely, 2^{2232079082496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232079082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538807747200).

2232079082496 is an abundant number, since it is smaller than the sum of its proper divisors (4845536411904).

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

2232079082496 is a wasteful number, since it uses less digits than its factorization.

2232079082496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2232079082496 in words is "two trillion, two hundred thirty-two billion, seventy-nine million, eighty-two thousand, four hundred ninety-six".