2417447142 has 72 divisors (see below), whose sum is σ = 5779479888. Its totient is φ = 729732960.

The previous prime is 2417447129. The next prime is 2417447147.

2417447142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2417447097 and 2417447106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2417447147) 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 35 ways as a sum of consecutive naturals, for example, 601303 + ... + 605309.

It is an arithmetic number, because the mean of its divisors is an integer number (80270554).

Almost surely, 2^2417447142 is an apocalyptic number.

2417447142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2417447142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889739944).

2417447142 is an abundant number, since it is smaller than the sum of its proper divisors (3362032746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2417447142 is a wasteful number, since it uses less digits than its factorization.

2417447142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4300 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 2417447142 is about 49167.5415492782. The cubic root of 2417447142 is about 1342.1024288029.

The spelling of 2417447142 in words is "two billion, four hundred seventeen million, four hundred forty-seven thousand, one hundred forty-two".