2939200080320 has 448 divisors, whose sum is σ = 8591193262080. Its totient is φ = 935930806272.

The previous prime is 2939200080283. The next prime is 2939200080331. The reversal of 2939200080320 is 230800029392.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2939200080320² (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 63 ways as a sum of consecutive naturals, for example, 383253446 + ... + 383261114.

Almost surely, 2^{2939200080320} is an apocalyptic number.

2939200080320 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 2939200080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295596631040).

2939200080320 is an abundant number, since it is smaller than the sum of its proper divisors (5651993181760).

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

2939200080320 is a wasteful number, since it uses less digits than its factorization.

2939200080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7932 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 2939200080320 in words is "two trillion, nine hundred thirty-nine billion, two hundred million, eighty thousand, three hundred twenty".