2664

2664 is a natural number that lies between 2663 and 2665. In mathematics, it is an even composite number with several notable factorization and representation properties.

Prime factorization: 2664 = 2^3 × 3^2 × 37, equivalently 72 × 37. It is divisible by 8, 9, 72, and 37, among other divisors.

Abundance and Harshad property: The sum of its positive divisors is 7410, giving proper divisors summing to 4746. Therefore, 2664 is an abundant number with abundance approximately 1.78. Its digit sum is 18, making 2664 a Harshad (Niven) number in base 10 since 2664 ÷ 18 = 148.

Base representations: In binary, 2664 equals 101001101000; in hexadecimal, it is 0xA68; in octal, it is 5150. In Roman numerals, it is written as MMDCLXIV.

Additional notes: The factorization 2^3 × 3^2 × 37 shows that 2664 is composed of small prime factors and is tied to the product 72 × 37. Its mathematical properties make it a convenient example in discussions of divisors, bases, and numeral systems. There are no widely known unique cultural or historical associations with the number 2664, but it serves as a representative integer in various number-theory contexts.