2417141329 has 8 divisors (see below), whose sum is σ = 2506617000. Its totient is φ = 2328074112.

The previous prime is 2417141263. The next prime is 2417141339. The reversal of 2417141329 is 9231417142.

It can be written as a sum of positive squares in 4 ways, for example, as 343249729 + 2073891600 = 18527^2 + 45540^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2417141329 is a prime.

It is a super-4 number, since 4×2417141329⁴ (a number of 39 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2417141294 and 2417141303.

It is not an unprimeable number, because it can be changed into a prime (2417141339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90034 + ... + 113755.

It is an arithmetic number, because the mean of its divisors is an integer number (313327125).

Almost surely, 2^2417141329 is an apocalyptic number.

2417141329 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2417141329 is a deficient number, since it is larger than the sum of its proper divisors (89475671).

2417141329 is a wasteful number, since it uses less digits than its factorization.

2417141329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204227.

The product of its digits is 12096, while the sum is 34.

The square root of 2417141329 is about 49164.4315435458. The cubic root of 2417141329 is about 1342.0458333319.

The spelling of 2417141329 in words is "two billion, four hundred seventeen million, one hundred forty-one thousand, three hundred twenty-nine".