2415 has 16 divisors (see below), whose sum is σ = 4608. Its totient is φ = 1056.

The previous prime is 2411. The next prime is 2417. The reversal of 2415 is 5142.

Adding to 2415 its reverse (5142), we get a palindrome (7557).

2415 = 6^{2} + 7^{2} + ... + 19^{2}.

2415 is a nontrivial binomial coefficient, being equal to C(70, 2).

It is not a de Polignac number, because 2415 - 2^{2} = 2411 is a prime.

2415 is a lucky number.

It is a plaindrome in base 8 and base 13.

It is a self number, because there is not a number *n* which added to its sum of digits gives 2415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94 + ... + 116.

It is an arithmetic number, because the mean of its divisors is an integer number (288).

2415 is the 69-th triangular number and also the 35-th hexagonal number.

2415 is a deficient number, since it is larger than the sum of its proper divisors (2193).

2415 is a wasteful number, since it uses less digits than its factorization.

2415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38.

The product of its digits is 40, while the sum is 12.

The square root of 2415 is about 49.1426495012. The cubic root of 2415 is about 13.4164941317.

The spelling of 2415 in words is "two thousand, four hundred fifteen".

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