2288564460 has 288 divisors, whose sum is σ = 8821542912. Its totient is φ = 467182080.

The previous prime is 2288564431. The next prime is 2288564461. The reversal of 2288564460 is 644658822.

2288564460 is a `hidden beast` number, since 2 + 2 + 88 + 564 + 4 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2288564461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 505527 + ... + 510033.

Almost surely, 2^2288564460 is an apocalyptic number.

2288564460 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 2288564460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410771456).

2288564460 is an abundant number, since it is smaller than the sum of its proper divisors (6532978452).

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

2288564460 is a wasteful number, since it uses less digits than its factorization.

2288564460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2288564460 is about 47838.9429231040. The cubic root of 2288564460 is about 1317.8148073864.

The spelling of 2288564460 in words is "two billion, two hundred eighty-eight million, five hundred sixty-four thousand, four hundred sixty".