2378384964 has 144 divisors (see below), whose sum is σ = 6636349440. Its totient is φ = 736257600.

The previous prime is 2378384963. The next prime is 2378384999. The reversal of 2378384964 is 4694838732.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2378384964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2378384963) 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 47 ways as a sum of consecutive naturals, for example, 2065789 + ... + 2066939.

It is an arithmetic number, because the mean of its divisors is an integer number (46085760).

Almost surely, 2^2378384964 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 2378384964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318174720).

2378384964 is an abundant number, since it is smaller than the sum of its proper divisors (4257964476).

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

2378384964 is a wasteful number, since it uses less digits than its factorization.

2378384964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1228 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 2378384964 is about 48768.6883563624. The cubic root of 2378384964 is about 1334.8343791508.

The spelling of 2378384964 in words is "two billion, three hundred seventy-eight million, three hundred eighty-four thousand, nine hundred sixty-four".