2904436416 has 112 divisors (see below), whose sum is σ = 8794593536. Its totient is φ = 828693504.

The previous prime is 2904436369. The next prime is 2904436427. The reversal of 2904436416 is 6146344092.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1661655 + ... + 1663401.

Almost surely, 2^2904436416 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 2904436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397296768).

2904436416 is an abundant number, since it is smaller than the sum of its proper divisors (5890157120).

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

2904436416 is a wasteful number, since it uses less digits than its factorization.

2904436416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2904436416 is about 53892.8234183365. The cubic root of 2904436416 is about 1426.7699629209.

The spelling of 2904436416 in words is "two billion, nine hundred four million, four hundred thirty-six thousand, four hundred sixteen".