2289153888 has 144 divisors (see below), whose sum is σ = 7641073440. Its totient is φ = 636346368.

The previous prime is 2289153871. The next prime is 2289153917. The reversal of 2289153888 is 8883519822.

2289153888 is a `hidden beast` number, since 2 + 28 + 9 + 1 + 538 + 88 = 666.

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

It is a congruent number.

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, 59248 + ... + 89936.

It is an arithmetic number, because the mean of its divisors is an integer number (53063010).

Almost surely, 2^2289153888 is an apocalyptic number.

2289153888 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 2289153888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820536720).

2289153888 is an abundant number, since it is smaller than the sum of its proper divisors (5351919552).

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

2289153888 is a wasteful number, since it uses less digits than its factorization.

2289153888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30749 (or 30738 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 2289153888 is about 47845.1030723103. The cubic root of 2289153888 is about 1317.9279336545.

The spelling of 2289153888 in words is "two billion, two hundred eighty-nine million, one hundred fifty-three thousand, eight hundred eighty-eight".