2288056320 has 576 divisors, whose sum is σ = 9030359520. Its totient is φ = 530841600.

The previous prime is 2288056313. The next prime is 2288056327. The reversal of 2288056320 is 236508822.

2288056320 is a `hidden beast` number, since 2 + 288 + 0 + 56 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (2288056313) and next prime (2288056327).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288056327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37509090 + ... + 37509150.

Almost surely, 2^2288056320 is an apocalyptic number.

2288056320 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 2288056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515179760).

2288056320 is an abundant number, since it is smaller than the sum of its proper divisors (6742303200).

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

2288056320 is a wasteful number, since it uses less digits than its factorization.

2288056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2288056320 is about 47833.6316831578. The cubic root of 2288056320 is about 1317.7172667673.

The spelling of 2288056320 in words is "two billion, two hundred eighty-eight million, fifty-six thousand, three hundred twenty".