2289659904 has 312 divisors, whose sum is σ = 7973447040. Its totient is φ = 618430464.

The previous prime is 2289659903. The next prime is 2289659921. The reversal of 2289659904 is 4099569822.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289659903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4902679 + ... + 4903145.

It is an arithmetic number, because the mean of its divisors is an integer number (25555920).

Almost surely, 2^2289659904 is an apocalyptic number.

2289659904 is a gapful number since it is divisible by the number (24) 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 2289659904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986723520).

2289659904 is an abundant number, since it is smaller than the sum of its proper divisors (5683787136).

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

2289659904 is a wasteful number, since it uses less digits than its factorization.

2289659904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 2289659904 is about 47850.3908447987. The cubic root of 2289659904 is about 1318.0250355418.

The spelling of 2289659904 in words is "two billion, two hundred eighty-nine million, six hundred fifty-nine thousand, nine hundred four".