2016306432 has 360 divisors, whose sum is σ = 7122931200. Its totient is φ = 555061248.

The previous prime is 2016306427. The next prime is 2016306449. The reversal of 2016306432 is 2346036102.

2016306432 is a `hidden beast` number, since 2 + 0 + 16 + 3 + 0 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2016306396 and 2016306405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4209169 + ... + 4209647.

It is an arithmetic number, because the mean of its divisors is an integer number (19785920).

Almost surely, 2^2016306432 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 2016306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561465600).

2016306432 is an abundant number, since it is smaller than the sum of its proper divisors (5106624768).

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

2016306432 is an equidigital number, since it uses as much as digits as its factorization.

2016306432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2016306432 is about 44903.3009031630. The cubic root of 2016306432 is about 1263.3359220658.

The spelling of 2016306432 in words is "two billion, sixteen million, three hundred six thousand, four hundred thirty-two".