2790

2790 is a positive integer that follows 2789 and precedes 2791. In number theory, it has the prime factorization 2 × 3^2 × 5 × 31, making it composite. The number is even and divisible by 9 and 10, among other divisors. The sum of its decimal digits is 18, confirming divisibility by 3 and 9. The total number of positive divisors is 24.

In other common representations, 2790 is 0xAE6 in hexadecimal, and in binary it is 101011100110. The standard Roman numeral for 2790 is MMDCCXC.

As a calendar year, 2790 refers to a year in the future of the Gregorian calendar. In a mathematical sense, the Euler totient φ(2790) equals 720, and the sum of its positive divisors is 7488, making 2790 an abundant number since the sum of proper divisors (7488 − 2790 = 4698) exceeds the number itself.

The number’s properties connect to its factorization: the divisor-count formula gives 24 divisors, reflecting the exponents (1, 2, 1, 1) in the prime factorization. The multiple factors also explain its divisibility by many small integers, including 2, 3, 5, and 31.

Beyond arithmetic, 2790 is sometimes encountered as a label or identifier in coding, cataloging, or descriptive contexts, though there is no single universally recognized meaning attached to it beyond its mathematical and calendrical uses.