2368816082400 has 288 divisors, whose sum is σ = 7833926596608. Its totient is φ = 621631897600.

The previous prime is 2368816082371. The next prime is 2368816082441. The reversal of 2368816082400 is 42806188632.

It is a super-2 number, since 2×2368816082400² (a number of 26 digits) contains 22 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 2368816082400.

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 47 ways as a sum of consecutive naturals, for example, 51171265 + ... + 51217535.

It is an arithmetic number, because the mean of its divisors is an integer number (27201134016).

Almost surely, 2^{2368816082400} is an apocalyptic number.

2368816082400 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 2368816082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916963298304).

2368816082400 is an abundant number, since it is smaller than the sum of its proper divisors (5465110514208).

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

2368816082400 is a wasteful number, since it uses less digits than its factorization.

2368816082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46634 (or 46621 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 2368816082400 in words is "two trillion, three hundred sixty-eight billion, eight hundred sixteen million, eighty-two thousand, four hundred".