2079808160 has 96 divisors (see below), whose sum is σ = 4996857600. Its totient is φ = 817945600.

The previous prime is 2079808151. The next prime is 2079808177. The reversal of 2079808160 is 618089702.

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 15 ways as a sum of consecutive naturals, for example, 2892281 + ... + 2892999.

It is an arithmetic number, because the mean of its divisors is an integer number (52050600).

Almost surely, 2^2079808160 is an apocalyptic number.

2079808160 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 2079808160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498428800).

2079808160 is an abundant number, since it is smaller than the sum of its proper divisors (2917049440).

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

2079808160 is a wasteful number, since it uses less digits than its factorization.

2079808160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 2079808160 is about 45604.9137703384. The cubic root of 2079808160 is about 1276.4616143467.

The spelling of 2079808160 in words is "two billion, seventy-nine million, eight hundred eight thousand, one hundred sixty".