2079730080 has 288 divisors, whose sum is σ = 7429968000. Its totient is φ = 549338112.

The previous prime is 2079730073. The next prime is 2079730109. The reversal of 2079730080 is 800379702.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5792941 + ... + 5793299.

It is an arithmetic number, because the mean of its divisors is an integer number (25798500).

Almost surely, 2^2079730080 is an apocalyptic number.

2079730080 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 2079730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714984000).

2079730080 is an abundant number, since it is smaller than the sum of its proper divisors (5350237920).

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

2079730080 is a wasteful number, since it uses less digits than its factorization.

2079730080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2079730080 is about 45604.0577141991. The cubic root of 2079730080 is about 1276.4456405384.

The spelling of 2079730080 in words is "two billion, seventy-nine million, seven hundred thirty thousand, eighty".