2718

2718 is the natural number that follows 2717 and precedes 2719. It is an even, composite integer with a prime factorization of 2 × 3^2 × 151.

The positive divisors of 2718 are 1, 2, 3, 6, 9, 18, 151, 302, 453, 906, 1359, and 2718, giving a total of 12 divisors. This factorization also shows why 2718 is divisible by 9 and by 18, since it contains the factors 3^2 and 2.

In base-10 arithmetic, 2718 is a Harshad (Niven) number because it is divisible by the sum of its digits: 2 + 7 + 1 + 8 = 18, and 2718 ÷ 18 = 151. This property places it among numbers that are divisible by the digit-sum of their decimal representation.

In Roman numerals, 2718 is written as MMDCCXVIII. The notation reflects 2000 (MM), 700 (DCC), and 18 (XVIII).

2718 is not a prime, nor a perfect square or cube. It is also not a triangular number. Its mathematical significance is largely structural, illustrated by its factorization and divisors, and by its status as a Harshad number in base 10.