2806138680 has 128 divisors (see below), whose sum is σ = 8569566720. Its totient is φ = 734952960.

The previous prime is 2806138679. The next prime is 2806138681. The reversal of 2806138680 is 868316082.

It is an interprime number because it is at equal distance from previous prime (2806138679) and next prime (2806138681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806138681) 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, 3177519 + ... + 3178401.

It is an arithmetic number, because the mean of its divisors is an integer number (66949740).

Almost surely, 2^2806138680 is an apocalyptic number.

2806138680 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 2806138680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284783360).

2806138680 is an abundant number, since it is smaller than the sum of its proper divisors (5763428040).

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

2806138680 is a wasteful number, since it uses less digits than its factorization.

2806138680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2806138680 is about 52972.9995375002. Note that the first 3 decimals coincide. The cubic root of 2806138680 is about 1410.4890210610.

The spelling of 2806138680 in words is "two billion, eight hundred six million, one hundred thirty-eight thousand, six hundred eighty".