2942904856320 has 2880 divisors, whose sum is σ = 13482284175360. Its totient is φ = 601974374400.

The previous prime is 2942904856279. The next prime is 2942904856337. The reversal of 2942904856320 is 236584092492.

2942904856320 is a `hidden beast` number, since 2 + 9 + 42 + 90 + 485 + 6 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 8732655192 + ... + 8732655528.

It is an arithmetic number, because the mean of its divisors is an integer number (4681348672).

Almost surely, 2^{2942904856320} is an apocalyptic number.

2942904856320 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 2942904856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741142087680).

2942904856320 is an abundant number, since it is smaller than the sum of its proper divisors (10539379319040).

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

2942904856320 is a wasteful number, since it uses less digits than its factorization.

2942904856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2942904856320 in words is "two trillion, nine hundred forty-two billion, nine hundred four million, eight hundred fifty-six thousand, three hundred twenty".