2368408320 has 216 divisors, whose sum is σ = 8296522416. Its totient is φ = 623714304.

The previous prime is 2368408307. The next prime is 2368408327. The reversal of 2368408320 is 238048632.

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

It is not an unprimeable number, because it can be changed into a prime (2368408327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 954922 + ... + 957398.

It is an arithmetic number, because the mean of its divisors is an integer number (38409826).

Almost surely, 2^2368408320 is an apocalyptic number.

2368408320 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 2368408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148261208).

2368408320 is an abundant number, since it is smaller than the sum of its proper divisors (5928114096).

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

2368408320 is a wasteful number, since it uses less digits than its factorization.

2368408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2368408320 is about 48666.2955236989. The cubic root of 2368408320 is about 1332.9653473380.

The spelling of 2368408320 in words is "two billion, three hundred sixty-eight million, four hundred eight thousand, three hundred twenty".