2680808610 has 64 divisors (see below), whose sum is σ = 6832667520. Its totient is φ = 671247360.

The previous prime is 2680808609. The next prime is 2680808621. The reversal of 2680808610 is 168080862.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43600 + ... + 85220.

It is an arithmetic number, because the mean of its divisors is an integer number (106760430).

Almost surely, 2^2680808610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680808610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416333760).

2680808610 is an abundant number, since it is smaller than the sum of its proper divisors (4151858910).

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

2680808610 is a wasteful number, since it uses less digits than its factorization.

2680808610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41763.

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 2680808610 is about 51776.5256655948. The cubic root of 2680808610 is about 1389.1695969962.

The spelling of 2680808610 in words is "two billion, six hundred eighty million, eight hundred eight thousand, six hundred ten".