2288160 has 144 divisors (see below), whose sum is σ = 8963136. Its totient is φ = 520704.

The previous prime is 2288123. The next prime is 2288161. The reversal of 2288160 is 618822.

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

It is not an unprimeable number, because it can be changed into a prime (2288161) 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, 9967 + ... + 10193.

It is an arithmetic number, because the mean of its divisors is an integer number (62244).

2^2288160 is an apocalyptic number.

2288160 is a gapful number since it is divisible by the number (20) 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 2288160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568).

2288160 is an abundant number, since it is smaller than the sum of its proper divisors (6674976).

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

2288160 is a wasteful number, since it uses less digits than its factorization.

2288160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2288160 is about 1512.6665197591. Note that the first 3 decimals coincide. The cubic root of 2288160 is about 131.7737169958.

The spelling of 2288160 in words is "two million, two hundred eighty-eight thousand, one hundred sixty".