2289168 has 80 divisors (see below), whose sum is σ = 7519360. Its totient is φ = 653184.

The previous prime is 2289163. The next prime is 2289179. The reversal of 2289168 is 8619822.

It is a Cunningham number, because it is equal to 1513²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2289163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2646 + ... + 3402.

It is an arithmetic number, because the mean of its divisors is an integer number (93992).

2^2289168 is an apocalyptic number.

2289168 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 2289168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759680).

2289168 is an abundant number, since it is smaller than the sum of its proper divisors (5230192).

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

2289168 is a wasteful number, since it uses less digits than its factorization.

2289168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 769 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2289168 is about 1512.9996695307. Note that the first 3 decimals coincide. The cubic root of 2289168 is about 131.7930641869.

The spelling of 2289168 in words is "two million, two hundred eighty-nine thousand, one hundred sixty-eight".