2129832432 has 480 divisors, whose sum is σ = 7799500800. Its totient is φ = 538513920.

The previous prime is 2129832421. The next prime is 2129832433. The reversal of 2129832432 is 2342389212.

2129832432 is a `hidden beast` number, since 212 + 9 + 8 + 3 + 2 + 432 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129832433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19904923 + ... + 19905029.

It is an arithmetic number, because the mean of its divisors is an integer number (16248960).

Almost surely, 2^2129832432 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 2129832432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899750400).

2129832432 is an abundant number, since it is smaller than the sum of its proper divisors (5669668368).

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

2129832432 is a wasteful number, since it uses less digits than its factorization.

2129832432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2129832432 is about 46150.1076055084. The cubic root of 2129832432 is about 1286.6146099491.

The spelling of 2129832432 in words is "two billion, one hundred twenty-nine million, eight hundred thirty-two thousand, four hundred thirty-two".