2382013872 has 240 divisors, whose sum is σ = 8023593600. Its totient is φ = 674593920.

The previous prime is 2382013847. The next prime is 2382013873. The reversal of 2382013872 is 2783102832.

It is a happy number.

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 (2382013873) 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 47 ways as a sum of consecutive naturals, for example, 2772579 + ... + 2773437.

It is an arithmetic number, because the mean of its divisors is an integer number (33431640).

Almost surely, 2^2382013872 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 2382013872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011796800).

2382013872 is an abundant number, since it is smaller than the sum of its proper divisors (5641579728).

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

2382013872 is a wasteful number, since it uses less digits than its factorization.

2382013872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2382013872 is about 48805.8794818821. The cubic root of 2382013872 is about 1335.5129249826.

The spelling of 2382013872 in words is "two billion, three hundred eighty-two million, thirteen thousand, eight hundred seventy-two".