2760

2760 is a natural number that follows 2759 and precedes 2761. It is an even, composite integer with a rich set of standard mathematical properties and representations.

In prime factorization terms, 2760 = 2^3 × 3 × 5 × 23. The number has 32 positive divisors, and the sum of all divisors is 8640, which makes 2760 an abundant number (the sum of its proper divisors is 5880, greater than 2760). Its Euler totient is 704, meaning there are 704 integers less than 2760 that are relatively prime to it. The digits of 2760 sum to 15, so it is a Harshad (Niven) number in base 10, since 2760 is divisible by 15.

In other numeral systems, 2760 is written as MMDCCLX in Roman numerals, and in hexadecimal it is 0xAC8. The binary representation is 101011001000.

As a calendar year, 2760 CE would be a leap year under the Gregorian rules, since it is divisible by 4 and not by 100. If used as a year BCE, it would lie in the ancient Near Eastern or broader Bronze Age timeline in historical discussions, though specific events would depend on the regional chronology being referenced.

Beyond arithmetic and notation, 2760 serves as a representative example of how a single integer can intersect number theory, numeral systems, and calendrical conventions, illustrating the variety of properties a modest number can possess.