2417712320 has 112 divisors (see below), whose sum is σ = 5972714496. Its totient is φ = 931200000.

The previous prime is 2417712317. The next prime is 2417712329. The reversal of 2417712320 is 232177142.

It is not an unprimeable number, because it can be changed into a prime (2417712329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2489435 + ... + 2490405.

It is an arithmetic number, because the mean of its divisors is an integer number (53327808).

Almost surely, 2^2417712320 is an apocalyptic number.

2417712320 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 2417712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986357248).

2417712320 is an abundant number, since it is smaller than the sum of its proper divisors (3555002176).

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

2417712320 is a wasteful number, since it uses less digits than its factorization.

2417712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 2417712320 is about 49170.2381527688. The cubic root of 2417712320 is about 1342.1515002688.

Adding to 2417712320 its reverse (232177142), we get a palindrome (2649889462).

The spelling of 2417712320 in words is "two billion, four hundred seventeen million, seven hundred twelve thousand, three hundred twenty".