2284332960 has 576 divisors, whose sum is σ = 9343724544. Its totient is φ = 464486400.

The previous prime is 2284332901. The next prime is 2284332977. The reversal of 2284332960 is 692334822.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 9478440 + ... + 9478680.

It is an arithmetic number, because the mean of its divisors is an integer number (16221744).

Almost surely, 2^2284332960 is an apocalyptic number.

2284332960 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 2284332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671862272).

2284332960 is an abundant number, since it is smaller than the sum of its proper divisors (7059391584).

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

2284332960 is a wasteful number, since it uses less digits than its factorization.

2284332960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2284332960 is about 47794.6959400308. The cubic root of 2284332960 is about 1317.0021037863.

The spelling of 2284332960 in words is "two billion, two hundred eighty-four million, three hundred thirty-two thousand, nine hundred sixty".