2368320384 has 64 divisors (see below), whose sum is σ = 6340515840. Its totient is φ = 783207936.

The previous prime is 2368320377. The next prime is 2368320389. The reversal of 2368320384 is 4830238632.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2368320389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24487 + ... + 73049.

It is an arithmetic number, because the mean of its divisors is an integer number (99070560).

Almost surely, 2^2368320384 is an apocalyptic number.

2368320384 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 2368320384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170257920).

2368320384 is an abundant number, since it is smaller than the sum of its proper divisors (3972195456).

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

2368320384 is a wasteful number, since it uses less digits than its factorization.

2368320384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48707 (or 48695 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 2368320384 is about 48665.3920563679. The cubic root of 2368320384 is about 1332.9488500290.

The spelling of 2368320384 in words is "two billion, three hundred sixty-eight million, three hundred twenty thousand, three hundred eighty-four".