2268 has 30 divisors (see below), whose sum is σ = 6776. Its totient is φ = 648.

The previous prime is 2267. The next prime is 2269. The reversal of 2268 is 8622.

2268 is nontrivially palindromic in base 5 and base 8.

2268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2267) and next prime (2269).

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (192) is a multiple of the sum of its prime divisors (12).

It is a plaindrome in base 10.

It is a nialpdrome in base 7, base 9 and base 14.

It is a self number, because there is not a number *n* which added to its sum of digits gives 2268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 321 + ... + 327.

2268 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 2268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388).

2268 is an abundant number, since it is smaller than the sum of its proper divisors (4508).

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

2268 is a wasteful number, since it uses less digits than its factorization.

2268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23 (or 12 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2268 is about 47.6235235992. The cubic root of 2268 is about 13.1385574197.

The spelling of 2268 in words is "two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268

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