2079585697280 has 320 divisors, whose sum is σ = 6155219790720. Its totient is φ = 656176840704.

The previous prime is 2079585697271. The next prime is 2079585697289. The reversal of 2079585697280 is 827965859702.

It is an interprime number because it is at equal distance from previous prime (2079585697271) and next prime (2079585697289).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2079585697280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079585697289) 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, 78494276 + ... + 78520764.

It is an arithmetic number, because the mean of its divisors is an integer number (19235061846).

Almost surely, 2^{2079585697280} is an apocalyptic number.

2079585697280 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 2079585697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077609895360).

2079585697280 is an abundant number, since it is smaller than the sum of its proper divisors (4075634093440).

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

2079585697280 is a wasteful number, since it uses less digits than its factorization.

2079585697280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26869 (or 26853 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 68.

The spelling of 2079585697280 in words is "two trillion, seventy-nine billion, five hundred eighty-five million, six hundred ninety-seven thousand, two hundred eighty".