2382332832 has 144 divisors (see below), whose sum is σ = 7645790880. Its totient is φ = 696998400.

The previous prime is 2382332809. The next prime is 2382332833.

2382332832 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is not an unprimeable number, because it can be changed into a prime (2382332833) 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 23 ways as a sum of consecutive naturals, for example, 78907 + ... + 104837.

It is an arithmetic number, because the mean of its divisors is an integer number (53095770).

Almost surely, 2^2382332832 is an apocalyptic number.

2382332832 is a gapful number since it is divisible by the number (22) 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 2382332832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822895440).

2382332832 is an abundant number, since it is smaller than the sum of its proper divisors (5263458048).

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

2382332832 is a wasteful number, since it uses less digits than its factorization.

2382332832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25987 (or 25976 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 2382332832 is about 48809.1470116002. The cubic root of 2382332832 is about 1335.5725322748.

The spelling of 2382332832 in words is "two billion, three hundred eighty-two million, three hundred thirty-two thousand, eight hundred thirty-two".