2283315984 has 120 divisors (see below), whose sum is σ = 6686833920. Its totient is φ = 725953536.

The previous prime is 2283315971. The next prime is 2283316003. The reversal of 2283315984 is 4895133822.

2283315984 is a `hidden beast` number, since 2 + 28 + 3 + 31 + 598 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1532712 + ... + 1534200.

It is an arithmetic number, because the mean of its divisors is an integer number (55723616).

Almost surely, 2^2283315984 is an apocalyptic number.

2283315984 is a gapful number since it is divisible by the number (24) 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 2283315984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343416960).

2283315984 is an abundant number, since it is smaller than the sum of its proper divisors (4403517936).

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

2283315984 is a wasteful number, since it uses less digits than its factorization.

2283315984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1980 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2283315984 is about 47784.0557508464. The cubic root of 2283315984 is about 1316.8066333998.

The spelling of 2283315984 in words is "two billion, two hundred eighty-three million, three hundred fifteen thousand, nine hundred eighty-four".