2286318720 has 256 divisors, whose sum is σ = 8456371200. Its totient is φ = 514584576.

The previous prime is 2286318673. The next prime is 2286318731. The reversal of 2286318720 is 278136822.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899211 + ... + 901749.

It is an arithmetic number, because the mean of its divisors is an integer number (33032700).

Almost surely, 2^2286318720 is an apocalyptic number.

2286318720 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 2286318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228185600).

2286318720 is an abundant number, since it is smaller than the sum of its proper divisors (6170052480).

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

2286318720 is a wasteful number, since it uses less digits than its factorization.

2286318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2286318720 is about 47815.4652805972. The cubic root of 2286318720 is about 1317.3836145235.

The spelling of 2286318720 in words is "two billion, two hundred eighty-six million, three hundred eighteen thousand, seven hundred twenty".