2680091100288 has 320 divisors, whose sum is σ = 9651522988800. Its totient is φ = 720696434688.

The previous prime is 2680091100221. The next prime is 2680091100329. The reversal of 2680091100288 is 8820011900862.

It is a happy number.

2680091100288 is a `hidden beast` number, since 268 + 0 + 0 + 9 + 1 + 100 + 288 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 147673 + ... + 2319911.

It is an arithmetic number, because the mean of its divisors is an integer number (30161009340).

Almost surely, 2^{2680091100288} is an apocalyptic number.

2680091100288 is a gapful number since it is divisible by the number (28) 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 2680091100288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825761494400).

2680091100288 is an abundant number, since it is smaller than the sum of its proper divisors (6971431888512).

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

2680091100288 is a wasteful number, since it uses less digits than its factorization.

2680091100288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172289 (or 2172268 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 2680091100288 in words is "two trillion, six hundred eighty billion, ninety-one million, one hundred thousand, two hundred eighty-eight".