2809320097920 has 512 divisors, whose sum is σ = 10503212544000. Its totient is φ = 625436246016.

The previous prime is 2809320097891. The next prime is 2809320097931. The reversal of 2809320097920 is 297900239082.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86416389 + ... + 86448891.

It is an arithmetic number, because the mean of its divisors is an integer number (20514087000).

Almost surely, 2^{2809320097920} is an apocalyptic number.

2809320097920 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 2809320097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251606272000).

2809320097920 is an abundant number, since it is smaller than the sum of its proper divisors (7693892446080).

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

2809320097920 is a wasteful number, since it uses less digits than its factorization.

2809320097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32700 (or 32688 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 2809320097920 in words is "two trillion, eight hundred nine billion, three hundred twenty million, ninety-seven thousand, nine hundred twenty".