2268288 has 96 divisors (see below), whose sum is σ = 7160400. Its totient is φ = 683520.

The previous prime is 2268281. The next prime is 2268289. The reversal of 2268288 is 8828622.

It is a tau number, because it is divible by the number of its divisors (96).

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 (2268281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12583 + ... + 12761.

2^2268288 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 2268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580200).

2268288 is an abundant number, since it is smaller than the sum of its proper divisors (4892112).

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

2268288 is a wasteful number, since it uses less digits than its factorization.

2268288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 2268288 is about 1506.0836630148. The cubic root of 2268288 is about 131.3911352554.

It can be divided in two parts, 2268 and 288, that added together give a triangular number (2556 = T₇₁).

The spelling of 2268288 in words is "two million, two hundred sixty-eight thousand, two hundred eighty-eight".