2530

2530 is a natural number that follows 2529 and precedes 2531. In mathematics, 2530 is an even, composite number. Its prime factorization is 2 × 5 × 11 × 23, a product of four distinct primes, making it squarefree. Consequently, 2530 has 16 positive divisors. The sum of all divisors is 5184, so the sum of proper divisors is 5184 − 2530 = 2654, which means 2530 is an abundant number. The digits sum to 2 + 5 + 3 + 0 = 10, and since 2530 is divisible by 10, it is a Harshad (Niven) number in base 10. It is also a multiple of 10 and of several of its prime factors, producing factor pairs such as 22 × 115 and 46 × 55.

In Roman numerals, 2530 is written as MMDXXX. In calendar terms, 2530 AD would fall in the 26th century. Outside arithmetic, 2530 may appear as a model number, a catalog designation, or a fictional year or code in various contexts.

As a relatively small, highly composite-like number with multiple distinct prime factors, 2530 is a useful example in discussions of divisors, factorization, and base-10 properties. It often serves to illustrate concepts such as abundance, Harshad numbers, and Roman numeral representation in introductory number theory.