2269

2269 is a natural number that lies between 2268 and 2270. In Roman numerals it is written as MMCCLXIX.

In mathematics, 2269 is a prime number. Its only positive divisors are 1 and 2269, and it is not divisible by any prime number up to 47, since the sum of its digits is 19 (not divisible by 3) and it is odd. Consequently, its residue modulo small bases follows patterns consistent with primes; for example, 2269 is congruent to 1 modulo 6, which aligns with the common property that primes greater than 3 are either 1 or 5 mod 6.

In calendar terms, 2269 can denote the year AD 2269, a future year in the Gregorian calendar. In astronomy, 2269 is used as a numerical designation for a minor planet in the catalog maintained by the Minor Planet Center, indicating that the object was sequentially cataloged during its confirmation as a minor planet. As with other such designations, the number 2269 uniquely identifies that object within the MPC database.

Beyond these uses, 2269 does not have widely recognized names or events associated with it in common reference sources. As a prime, it holds the standard mathematical property of having exactly two positive divisors, which is a defining characteristic used in various branches of number theory and arithmetic.