2328165504000 has 3168 divisors, whose sum is σ = 10848152550144. Its totient is φ = 487312588800.

The previous prime is 2328165503969. The next prime is 2328165504029. The reversal of 2328165504000 is 4055618232.

2328165504000 is a `hidden beast` number, since 23 + 2 + 81 + 6 + 550 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2328165504000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 62923391982 + ... + 62923392018.

Almost surely, 2^{2328165504000} is an apocalyptic number.

2328165504000 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 2328165504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424076275072).

2328165504000 is an abundant number, since it is smaller than the sum of its proper divisors (8519987046144).

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

2328165504000 is an equidigital number, since it uses as much as digits as its factorization.

2328165504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2328165504000 in words is "two trillion, three hundred twenty-eight billion, one hundred sixty-five million, five hundred four thousand".