2904430094904 has 512 divisors, whose sum is σ = 8773095260160. Its totient is φ = 792529920000.

The previous prime is 2904430094821. The next prime is 2904430094959. The reversal of 2904430094904 is 4094900344092.

It is a happy number.

It is a super-4 number, since 4×2904430094904⁴ (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3867416529 + ... + 3867417279.

It is an arithmetic number, because the mean of its divisors is an integer number (17134951680).

Almost surely, 2^{2904430094904} is an apocalyptic number.

2904430094904 is a gapful number since it is divisible by the number (24) 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 2904430094904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386547630080).

2904430094904 is an abundant number, since it is smaller than the sum of its proper divisors (5868665165256).

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

2904430094904 is a wasteful number, since it uses less digits than its factorization.

2904430094904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 2904430094904 in words is "two trillion, nine hundred four billion, four hundred thirty million, ninety-four thousand, nine hundred four".