2417965980 has 96 divisors (see below), whose sum is σ = 6949454400. Its totient is φ = 627793920.

The previous prime is 2417965967. The next prime is 2417965987. The reversal of 2417965980 is 895697142.

2417965980 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 (2417965987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2304496 + ... + 2305544.

It is an arithmetic number, because the mean of its divisors is an integer number (72390150).

Almost surely, 2^2417965980 is an apocalyptic number.

2417965980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2417965980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474727200).

2417965980 is an abundant number, since it is smaller than the sum of its proper divisors (4531488420).

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

2417965980 is a wasteful number, since it uses less digits than its factorization.

2417965980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 2417965980 is about 49172.8174909675. The cubic root of 2417965980 is about 1342.1984369592.

The spelling of 2417965980 in words is "two billion, four hundred seventeen million, nine hundred sixty-five thousand, nine hundred eighty".