2288364288 has 360 divisors, whose sum is σ = 7626025008. Its totient is φ = 606928896.

The previous prime is 2288364259. The next prime is 2288364301. The reversal of 2288364288 is 8824638822.

It is a happy number.

It is a super-2 number, since 2×2288364288² = 10473222229187493888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2288364288.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 31347420 + ... + 31347492.

Almost surely, 2^2288364288 is an apocalyptic number.

2288364288 is a gapful number since it is divisible by the number (28) 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 2288364288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813012504).

2288364288 is an abundant number, since it is smaller than the sum of its proper divisors (5337660720).

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

2288364288 is an frugal number, since it uses more digits than its factorization.

2288364288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The square root of 2288364288 is about 47836.8507324636. The cubic root of 2288364288 is about 1317.7763848554.

The spelling of 2288364288 in words is "two billion, two hundred eighty-eight million, three hundred sixty-four thousand, two hundred eighty-eight".