2417440240 has 80 divisors (see below), whose sum is σ = 5753524608. Its totient is φ = 944273408.

The previous prime is 2417440189. The next prime is 2417440271. The reversal of 2417440240 is 420447142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2417440199 and 2417440208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986697 + ... + 989143.

Almost surely, 2^2417440240 is an apocalyptic number.

2417440240 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 2417440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876762304).

2417440240 is an abundant number, since it is smaller than the sum of its proper divisors (3336084368).

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

2417440240 is a wasteful number, since it uses less digits than its factorization.

2417440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 2417440240 is about 49167.4713606466. The cubic root of 2417440240 is about 1342.1011515326.

Adding to 2417440240 its reverse (420447142), we get a palindrome (2837887382).

The spelling of 2417440240 in words is "two billion, four hundred seventeen million, four hundred forty thousand, two hundred forty".