2904242688 has 280 divisors, whose sum is σ = 9016672896. Its totient is φ = 933120000.

The previous prime is 2904242687. The next prime is 2904242689. The reversal of 2904242688 is 8862424092.

It is an interprime number because it is at equal distance from previous prime (2904242687) and next prime (2904242689).

It is not an unprimeable number, because it can be changed into a prime (2904242687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11570563 + ... + 11570813.

Almost surely, 2^2904242688 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 2904242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508336448).

2904242688 is an abundant number, since it is smaller than the sum of its proper divisors (6112430208).

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

2904242688 is an frugal number, since it uses more digits than its factorization.

2904242688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2904242688 is about 53891.0260433034. The cubic root of 2904242688 is about 1426.7382400210.

The spelling of 2904242688 in words is "two billion, nine hundred four million, two hundred forty-two thousand, six hundred eighty-eight".