2904378955920 has 1600 divisors, whose sum is σ = 11662443555840. Its totient is φ = 664680038400.

The previous prime is 2904378955843. The next prime is 2904378955921. The reversal of 2904378955920 is 295598734092.

2904378955920 is a `hidden beast` number, since 2 + 9 + 0 + 4 + 3 + 78 + 9 + 559 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2904378955921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10717265385 + ... + 10717265655.

Almost surely, 2^{2904378955920} is an apocalyptic number.

2904378955920 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 2904378955920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831221777920).

2904378955920 is an abundant number, since it is smaller than the sum of its proper divisors (8758064599920).

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

2904378955920 is a wasteful number, since it uses less digits than its factorization.

2904378955920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 2904378955920 in words is "two trillion, nine hundred four billion, three hundred seventy-eight million, nine hundred fifty-five thousand, nine hundred twenty".