2268144 has 60 divisors (see below), whose sum is σ = 6689800. Its totient is φ = 715392.

The previous prime is 2268143. The next prime is 2268193. The reversal of 2268144 is 4418622.

2268144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2322 + ... + 3150.

2^2268144 is an apocalyptic number.

2268144 is a gapful number since it is divisible by the number (24) 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 2268144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344900).

2268144 is an abundant number, since it is smaller than the sum of its proper divisors (4421656).

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

2268144 is a wasteful number, since it uses less digits than its factorization.

2268144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 853 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2268144 is about 1506.0358561469. The cubic root of 2268144 is about 131.3883547849.

The spelling of 2268144 in words is "two million, two hundred sixty-eight thousand, one hundred forty-four".