2417138517 has 16 divisors (see below), whose sum is σ = 3365222400. Its totient is φ = 1540333872.

The previous prime is 2417138497. The next prime is 2417138519. The reversal of 2417138517 is 7158317142.

It is a happy number.

It is not a de Polignac number, because 2417138517 - 2²⁶ = 2350029653 is a prime.

It is a super-2 number, since 2×2417138517² = 11685117220729918578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2417138519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99984 + ... + 121782.

It is an arithmetic number, because the mean of its divisors is an integer number (210326400).

Almost surely, 2^2417138517 is an apocalyptic number.

It is an amenable number.

2417138517 is a deficient number, since it is larger than the sum of its proper divisors (948083883).

2417138517 is a wasteful number, since it uses less digits than its factorization.

2417138517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23432.

The product of its digits is 47040, while the sum is 39.

The square root of 2417138517 is about 49164.4029456272. The cubic root of 2417138517 is about 1342.0453129053.

The spelling of 2417138517 in words is "two billion, four hundred seventeen million, one hundred thirty-eight thousand, five hundred seventeen".