2004716100 has 72 divisors (see below), whose sum is σ = 5865562080. Its totient is φ = 528577280.

The previous prime is 2004716099. The next prime is 2004716137. The reversal of 2004716100 is 16174002.

It is an unprimeable number.

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, 10842 + ... + 64241.

It is an arithmetic number, because the mean of its divisors is an integer number (81466140).

Almost surely, 2^2004716100 is an apocalyptic number.

2004716100 is a gapful number since it is divisible by the number (20) 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 2004716100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932781040).

2004716100 is an abundant number, since it is smaller than the sum of its proper divisors (3860845980).

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

2004716100 is a wasteful number, since it uses less digits than its factorization.

2004716100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75189 (or 75182 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2004716100 is about 44774.0561039538. The cubic root of 2004716100 is about 1260.9105914497.

The spelling of 2004716100 in words is "two billion, four million, seven hundred sixteen thousand, one hundred".