2832332832 has 240 divisors, whose sum is σ = 9779394240. Its totient is φ = 787180032.

The previous prime is 2832332827. The next prime is 2832332837. The reversal of 2832332832 is 2382332382.

2832332832 is a `hidden beast` number, since 2 + 8 + 323 + 328 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2832332827) and next prime (2832332837).

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 (2832332837) 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 39 ways as a sum of consecutive naturals, for example, 669219 + ... + 673437.

It is an arithmetic number, because the mean of its divisors is an integer number (40747476).

Almost surely, 2^2832332832 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 2832332832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889697120).

2832332832 is an abundant number, since it is smaller than the sum of its proper divisors (6947061408).

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

2832332832 is a wasteful number, since it uses less digits than its factorization.

2832332832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4268 counting only the distinct ones).

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

The square root of 2832332832 is about 53219.6658388607. The cubic root of 2832332832 is about 1414.8642141841.

The spelling of 2832332832 in words is "two billion, eight hundred thirty-two million, three hundred thirty-two thousand, eight hundred thirty-two".