2289912768 has 280 divisors, whose sum is σ = 7977317040. Its totient is φ = 640327680.

The previous prime is 2289912763. The next prime is 2289912787. The reversal of 2289912768 is 8672199822.

2289912768 is a `hidden beast` number, since 2 + 289 + 91 + 276 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289912763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 739768 + ... + 742856.

It is an arithmetic number, because the mean of its divisors is an integer number (28490418).

Almost surely, 2^2289912768 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 2289912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988658520).

2289912768 is an abundant number, since it is smaller than the sum of its proper divisors (5687404272).

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

2289912768 is a wasteful number, since it uses less digits than its factorization.

2289912768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3118 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 2289912768 is about 47853.0330073236. The cubic root of 2289912768 is about 1318.0735534919.

The spelling of 2289912768 in words is "two billion, two hundred eighty-nine million, nine hundred twelve thousand, seven hundred sixty-eight".