2417425120 has 288 divisors, whose sum is σ = 6732694080. Its totient is φ = 817766400.

The previous prime is 2417425103. The next prime is 2417425163. The reversal of 2417425120 is 215247142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27162036 + ... + 27162124.

It is an arithmetic number, because the mean of its divisors is an integer number (23377410).

Almost surely, 2^2417425120 is an apocalyptic number.

2417425120 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 2417425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366347040).

2417425120 is an abundant number, since it is smaller than the sum of its proper divisors (4315268960).

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

2417425120 is a wasteful number, since it uses less digits than its factorization.

2417425120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2417425120 is about 49167.3176002108. The cubic root of 2417425120 is about 1342.0983534474.

It can be divided in two parts, 24174 and 25120, that added together give a palindrome (49294).

The spelling of 2417425120 in words is "two billion, four hundred seventeen million, four hundred twenty-five thousand, one hundred twenty".