2004611916 has 48 divisors (see below), whose sum is σ = 4965498720. Its totient is φ = 627256320.

The previous prime is 2004611867. The next prime is 2004611923. The reversal of 2004611916 is 6191164002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66726 + ... + 91986.

It is an arithmetic number, because the mean of its divisors is an integer number (103447890).

Almost surely, 2^2004611916 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 2004611916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482749360).

2004611916 is an abundant number, since it is smaller than the sum of its proper divisors (2960886804).

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

2004611916 is a wasteful number, since it uses less digits than its factorization.

2004611916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25674 (or 25672 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2004611916 is about 44772.8926472257. The cubic root of 2004611916 is about 1260.8887481266. Note that the first 3 decimals are identical.

Adding to 2004611916 its reverse (6191164002), we get a palindrome (8195775918).

The spelling of 2004611916 in words is "two billion, four million, six hundred eleven thousand, nine hundred sixteen".