2417440984 has 128 divisors (see below), whose sum is σ = 5616576000. Its totient is φ = 952528896.

The previous prime is 2417440981. The next prime is 2417441009. The reversal of 2417440984 is 4890447142.

It is a happy number.

It is a super-2 number, since 2×2417440984² = 11688041822245776512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2417440984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2417440981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6089074 + ... + 6089470.

It is an arithmetic number, because the mean of its divisors is an integer number (43879500).

Almost surely, 2^2417440984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2417440984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808288000).

2417440984 is an abundant number, since it is smaller than the sum of its proper divisors (3199135016).

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

2417440984 is a wasteful number, since it uses less digits than its factorization.

2417440984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 2417440984 is about 49167.4789266238. The cubic root of 2417440984 is about 1342.1012892159.

The spelling of 2417440984 in words is "two billion, four hundred seventeen million, four hundred forty thousand, nine hundred eighty-four".