2817130680 has 384 divisors, whose sum is σ = 11383182720. Its totient is φ = 588349440.

The previous prime is 2817130669. The next prime is 2817130727. The reversal of 2817130680 is 860317182.

2817130680 is a `hidden beast` number, since 281 + 71 + 306 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3701500 + ... + 3702260.

It is an arithmetic number, because the mean of its divisors is an integer number (29643705).

Almost surely, 2^2817130680 is an apocalyptic number.

2817130680 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 2817130680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691591360).

2817130680 is an abundant number, since it is smaller than the sum of its proper divisors (8566052040).

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

2817130680 is a wasteful number, since it uses less digits than its factorization.

2817130680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2817130680 is about 53076.6491029718. The cubic root of 2817130680 is about 1412.3283095152.

The spelling of 2817130680 in words is "two billion, eight hundred seventeen million, one hundred thirty thousand, six hundred eighty".