2942919112320 has 1792 divisors, whose sum is σ = 12353540688000. Its totient is φ = 662171811840.

The previous prime is 2942919112297. The next prime is 2942919112387. The reversal of 2942919112320 is 232119192492.

2942919112320 is a `hidden beast` number, since 2 + 9 + 429 + 191 + 1 + 2 + 32 + 0 = 666.

2942919112320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7764957891 + ... + 7764958269.

Almost surely, 2^{2942919112320} is an apocalyptic number.

2942919112320 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 2942919112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176770344000).

2942919112320 is an abundant number, since it is smaller than the sum of its proper divisors (9410621575680).

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

2942919112320 is a wasteful number, since it uses less digits than its factorization.

2942919112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 2942919112320 in words is "two trillion, nine hundred forty-two billion, nine hundred nineteen million, one hundred twelve thousand, three hundred twenty".