2384388864 has 216 divisors, whose sum is σ = 8077781712. Its totient is φ = 666869760.

The previous prime is 2384388859. The next prime is 2384388917. The reversal of 2384388864 is 4688834832.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2384388864.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 325854 + ... + 333090.

Almost surely, 2^2384388864 is an apocalyptic number.

2384388864 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 2384388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038890856).

2384388864 is an abundant number, since it is smaller than the sum of its proper divisors (5693392848).

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

2384388864 is a wasteful number, since it uses less digits than its factorization.

2384388864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7283 (or 7266 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 2384388864 is about 48830.2044230822. The cubic root of 2384388864 is about 1335.9566362155.

The spelling of 2384388864 in words is "two billion, three hundred eighty-four million, three hundred eighty-eight thousand, eight hundred sixty-four".