2079360000 has 495 divisors, whose sum is σ = 7918395771. Its totient is φ = 525312000.

The previous prime is 2079359993. The next prime is 2079360013. The reversal of 2079360000 is 639702.

The square root of 2079360000 is 45600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 163021824 + 1916338176 = 12768^2 + 43776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 109439991 + ... + 109440009.

Almost surely, 2^2079360000 is an apocalyptic number.

2079360000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2079360000 is the 45600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2079360000

2079360000 is an abundant number, since it is smaller than the sum of its proper divisors (5839035771).

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

2079360000 is an equidigital number, since it uses as much as digits as its factorization.

2079360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The cubic root of 2079360000 is about 1276.3699231766.

Adding to 2079360000 its reverse (639702), we get a palindrome (2079999702).

The spelling of 2079360000 in words is "two billion, seventy-nine million, three hundred sixty thousand".