2520000

2520000 is an integer. It is a composite number, meaning it has divisors other than 1 and itself. Its prime factorization is 2^4 * 3^2 * 5^4 * 7. This number is notable for being the least common multiple of the integers from 1 to 10. This property is significant in various mathematical contexts, particularly in number theory and when dealing with cyclical patterns or scheduling problems where a common multiple is required.

The number 2520 is also a perfect number, which means it is equal to the sum of its proper divisors. However, 2520000 is not a perfect number. It is a highly divisible number, meaning it has a large number of divisors relative to its magnitude. The number of divisors for 2520000 can be calculated from its prime factorization. For example, it is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, and many other integers.

In practical applications, numbers with many divisors are sometimes favored in systems where divisibility by a wide range of smaller numbers is beneficial, such as in clockwork mechanisms or certain historical calendar systems. The number 2520000 itself does not appear to have widespread direct applications as a named constant in physics, chemistry, or widely recognized cultural contexts, but its mathematical properties, particularly its relationship to smaller integers, are of academic interest.