2079480688128 has 560 divisors, whose sum is σ = 6412303537200. Its totient is φ = 673120419840.

The previous prime is 2079480688127. The next prime is 2079480688193. The reversal of 2079480688128 is 8218860849702.

2079480688128 is a `hidden beast` number, since 2 + 0 + 79 + 480 + 6 + 8 + 81 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079480688127) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 1959924718 + ... + 1959925778.

Almost surely, 2^{2079480688128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2079480688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206151768600).

2079480688128 is an abundant number, since it is smaller than the sum of its proper divisors (4332822849072).

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

2079480688128 is an frugal number, since it uses more digits than its factorization.

2079480688128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 2079480688128 in words is "two trillion, seventy-nine billion, four hundred eighty million, six hundred eighty-eight thousand, one hundred twenty-eight".