2079060480 has 320 divisors, whose sum is σ = 8441959680. Its totient is φ = 475103232.

The previous prime is 2079060439. The next prime is 2079060491. The reversal of 2079060480 is 840609702.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 481692 + ... + 485988.

It is an arithmetic number, because the mean of its divisors is an integer number (26381124).

Almost surely, 2^2079060480 is an apocalyptic number.

2079060480 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 2079060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220979840).

2079060480 is an abundant number, since it is smaller than the sum of its proper divisors (6362899200).

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

2079060480 is an equidigital number, since it uses as much as digits as its factorization.

2079060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2079060480 is about 45596.7156711972. The cubic root of 2079060480 is about 1276.3086356206.

The spelling of 2079060480 in words is "two billion, seventy-nine million, sixty thousand, four hundred eighty".