2904302431680 has 896 divisors, whose sum is σ = 10647653990400. Its totient is φ = 664784879616.

The previous prime is 2904302431631. The next prime is 2904302431739. The reversal of 2904302431680 is 861342034092.

It is a super-2 number, since 2×2904302431680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4252272619 + ... + 4252273301.

It is an arithmetic number, because the mean of its divisors is an integer number (11883542400).

Almost surely, 2^{2904302431680} is an apocalyptic number.

2904302431680 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 2904302431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323826995200).

2904302431680 is an abundant number, since it is smaller than the sum of its proper divisors (7743351558720).

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

2904302431680 is a wasteful number, since it uses less digits than its factorization.

2904302431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 2904302431680 in words is "two trillion, nine hundred four billion, three hundred two million, four hundred thirty-one thousand, six hundred eighty".