2289768128 has 168 divisors, whose sum is σ = 5202570240. Its totient is φ = 996779520.

The previous prime is 2289768119. The next prime is 2289768133. The reversal of 2289768128 is 8218679822.

It is a self number, because there is not a number n which added to its sum of digits gives 2289768128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16473083 + ... + 16473221.

It is an arithmetic number, because the mean of its divisors is an integer number (30967680).

Almost surely, 2^2289768128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601285120).

2289768128 is an abundant number, since it is smaller than the sum of its proper divisors (2912802112).

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

2289768128 is a wasteful number, since it uses less digits than its factorization.

2289768128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 53.

The square root of 2289768128 is about 47851.5216894928. The cubic root of 2289768128 is about 1318.0458013178.

The spelling of 2289768128 in words is "two billion, two hundred eighty-nine million, seven hundred sixty-eight thousand, one hundred twenty-eight".