2289504672 has 144 divisors (see below), whose sum is σ = 8013358080. Its totient is φ = 603818496.

The previous prime is 2289504661. The next prime is 2289504689. The reversal of 2289504672 is 2764059822.

2289504672 is a `hidden beast` number, since 2 + 2 + 89 + 504 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17472 + ... + 69887.

It is an arithmetic number, because the mean of its divisors is an integer number (55648320).

Almost surely, 2^2289504672 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 2289504672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006679040).

2289504672 is an abundant number, since it is smaller than the sum of its proper divisors (5723853408).

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

2289504672 is a wasteful number, since it uses less digits than its factorization.

2289504672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87395 (or 87384 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2289504672 is about 47848.7687615888. The cubic root of 2289504672 is about 1317.9952488348.

The spelling of 2289504672 in words is "two billion, two hundred eighty-nine million, five hundred four thousand, six hundred seventy-two".