2282288960 has 56 divisors (see below), whose sum is σ = 6211092480. Its totient is φ = 782498304.

The previous prime is 2282288929. The next prime is 2282288963. The reversal of 2282288960 is 698822822.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282288963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507200 + ... + 511679.

Almost surely, 2^2282288960 is an apocalyptic number.

2282288960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2282288960 is an abundant number, since it is smaller than the sum of its proper divisors (3928803520).

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

2282288960 is a wasteful number, since it uses less digits than its factorization.

2282288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018903 (or 1018893 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 2282288960 is about 47773.3080286471. The cubic root of 2282288960 is about 1316.6091727997.

The spelling of 2282288960 in words is "two billion, two hundred eighty-two million, two hundred eighty-eight thousand, nine hundred sixty".