2232682834800 has 480 divisors, whose sum is σ = 8384522713344. Its totient is φ = 501811200000.

The previous prime is 2232682834771. The next prime is 2232682834829. The reversal of 2232682834800 is 84382862322.

It is an interprime number because it is at equal distance from previous prime (2232682834771) and next prime (2232682834829).

It is a super-3 number, since 3×2232682834800³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2232682834800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14960550 + ... + 15109050.

Almost surely, 2^{2232682834800} is an apocalyptic number.

2232682834800 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 2232682834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192261356672).

2232682834800 is an abundant number, since it is smaller than the sum of its proper divisors (6151839878544).

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

2232682834800 is a wasteful number, since it uses less digits than its factorization.

2232682834800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148617 (or 148606 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 2232682834800 in words is "two trillion, two hundred thirty-two billion, six hundred eighty-two million, eight hundred thirty-four thousand, eight hundred".