2002417950 has 96 divisors (see below), whose sum is σ = 5580642816. Its totient is φ = 471461760.

The previous prime is 2002417919. The next prime is 2002417951. The reversal of 2002417950 is 597142002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002417951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22527 + ... + 67173.

It is an arithmetic number, because the mean of its divisors is an integer number (58131696).

Almost surely, 2^2002417950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002417950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790321408).

2002417950 is an abundant number, since it is smaller than the sum of its proper divisors (3578224866).

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

2002417950 is a wasteful number, since it uses less digits than its factorization.

2002417950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44698 (or 44693 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 2002417950 is about 44748.3848870549. The cubic root of 2002417950 is about 1260.4285831019.

Adding to 2002417950 its reverse (597142002), we get a palindrome (2599559952).

The spelling of 2002417950 in words is "two billion, two million, four hundred seventeen thousand, nine hundred fifty".