2817319680 has 864 divisors, whose sum is σ = 12244377600. Its totient is φ = 596090880.

The previous prime is 2817319669. The next prime is 2817319699. The reversal of 2817319680 is 869137182.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 90881265 + ... + 90881295.

Almost surely, 2^2817319680 is an apocalyptic number.

2817319680 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 2817319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122188800).

2817319680 is an abundant number, since it is smaller than the sum of its proper divisors (9427057920).

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

2817319680 is a wasteful number, since it uses less digits than its factorization.

2817319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2817319680 is about 53078.4295170835. The cubic root of 2817319680 is about 1412.3598929609.

The spelling of 2817319680 in words is "two billion, eight hundred seventeen million, three hundred nineteen thousand, six hundred eighty".