2364116400 has 180 divisors, whose sum is σ = 8260371600. Its totient is φ = 626112000.

The previous prime is 2364116399. The next prime is 2364116423. The reversal of 2364116400 is 46114632.

2364116400 is a `hidden beast` number, since 2 + 3 + 6 + 4 + 11 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 541426 + ... + 545774.

Almost surely, 2^2364116400 is an apocalyptic number.

2364116400 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 2364116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130185800).

2364116400 is an abundant number, since it is smaller than the sum of its proper divisors (5896255200).

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

2364116400 is a wasteful number, since it uses less digits than its factorization.

2364116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2364116400 is about 48622.1801238900. The cubic root of 2364116400 is about 1332.1596810973.

The spelling of 2364116400 in words is "two billion, three hundred sixty-four million, one hundred sixteen thousand, four hundred".