2520 (number)

2520 (two thousand five hundred [and] twenty) is the natural number following 2519 and preceding 2521.

In mathematics

2520 is:

• the smallest number divisible by all integers from one to ten, i.e., it is their least common multiple.
• half of 7! (5040), meaning 7 factorial, or ${\displaystyle 1\times 2\times 3\times 4\times 5\times 6\times 7}$.
• the product of five consecutive numbers, namely ${\displaystyle 3\times 4\times 5\times 6\times 7}$.
• a superior highly composite number.
• a colossally abundant number.
• the last highly composite number that is half of the next highly composite number.^[1]
• the last highly composite number that is a divisor of all following highly composite numbers.^[2]
• palindromic in undecimal (1991₁₁) and a repdigit in bases 55, 59, and 62.
• a Harshad number in all bases between binary and hexadecimal.
• the aliquot sum of 1080.
• part of the 53-aliquot tree. The complete aliquot sequence starting at 1080 is 1080, 2520, 6840, 16560, 41472, 82311, 27441, 12209, 451, 53, 1, 0.

Factors

The factors, also called divisors, of 2520 are:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520.^[3]

References