2008679045880 has 1024 divisors, whose sum is σ = 7116674826240. Its totient is φ = 449690959872.

The previous prime is 2008679045873. The next prime is 2008679045887. The reversal of 2008679045880 is 885409768002.

It is an interprime number because it is at equal distance from previous prime (2008679045873) and next prime (2008679045887).

It is a self number, because there is not a number n which added to its sum of digits gives 2008679045880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008679045887) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15816370377 + ... + 15816370503.

It is an arithmetic number, because the mean of its divisors is an integer number (6949877760).

Almost surely, 2^{2008679045880} is an apocalyptic number.

2008679045880 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 2008679045880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558337413120).

2008679045880 is an abundant number, since it is smaller than the sum of its proper divisors (5107995780360).

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

2008679045880 is a wasteful number, since it uses less digits than its factorization.

2008679045880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 2008679045880 in words is "two trillion, eight billion, six hundred seventy-nine million, forty-five thousand, eight hundred eighty".