2328461632224 has 960 divisors, whose sum is σ = 8592401664000. Its totient is φ = 602243112960.

The previous prime is 2328461632223. The next prime is 2328461632241. The reversal of 2328461632224 is 4222361648232.

2328461632224 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 4 + 6 + 1 + 632 + 2 + 2 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2328461632224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328461632223) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4666255527 + ... + 4666256025.

It is an arithmetic number, because the mean of its divisors is an integer number (8950418400).

Almost surely, 2^{2328461632224} is an apocalyptic number.

2328461632224 is a gapful number since it is divisible by the number (24) 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 2328461632224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296200832000).

2328461632224 is an abundant number, since it is smaller than the sum of its proper divisors (6263940031776).

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

2328461632224 is a wasteful number, since it uses less digits than its factorization.

2328461632224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 868 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 2328461632224 in words is "two trillion, three hundred twenty-eight billion, four hundred sixty-one million, six hundred thirty-two thousand, two hundred twenty-four".