2079601680 has 160 divisors (see below), whose sum is σ = 7308282240. Its totient is φ = 484945920.

The previous prime is 2079601673. The next prime is 2079601681. The reversal of 2079601680 is 861069702.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2079601681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41740 + ... + 76820.

It is an arithmetic number, because the mean of its divisors is an integer number (45676764).

Almost surely, 2^2079601680 is an apocalyptic number.

2079601680 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 2079601680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654141120).

2079601680 is an abundant number, since it is smaller than the sum of its proper divisors (5228680560).

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

2079601680 is a wasteful number, since it uses less digits than its factorization.

2079601680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35129 (or 35123 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2079601680 is about 45602.6499230034. The cubic root of 2079601680 is about 1276.4193712652.

The spelling of 2079601680 in words is "two billion, seventy-nine million, six hundred one thousand, six hundred eighty".