2417680368 has 60 divisors (see below), whose sum is σ = 6796578880. Its totient is φ = 802268928.

The previous prime is 2417680367. The next prime is 2417680373. The reversal of 2417680368 is 8630867142.

2417680368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2417680361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5533 + ... + 69756.

Almost surely, 2^2417680368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2417680368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398289440).

2417680368 is an abundant number, since it is smaller than the sum of its proper divisors (4378898512).

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

2417680368 is a wasteful number, since it uses less digits than its factorization.

2417680368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75526 (or 75517 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2417680368 is about 49169.9132397038. The cubic root of 2417680368 is about 1342.1455877080.

The spelling of 2417680368 in words is "two billion, four hundred seventeen million, six hundred eighty thousand, three hundred sixty-eight".