2364201140864 has 64 divisors (see below), whose sum is σ = 4781863175040. Its totient is φ = 1164059314176.

The previous prime is 2364201140863. The next prime is 2364201140879. The reversal of 2364201140864 is 4680411024632.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2364201140863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25879652 + ... + 25970844.

It is an arithmetic number, because the mean of its divisors is an integer number (74716612110).

Almost surely, 2^{2364201140864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2364201140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390931587520).

2364201140864 is an abundant number, since it is smaller than the sum of its proper divisors (2417662034176).

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

2364201140864 is an equidigital number, since it uses as much as digits as its factorization.

2364201140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94297 (or 94285 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 2364201140864 in words is "two trillion, three hundred sixty-four billion, two hundred one million, one hundred forty thousand, eight hundred sixty-four".