2409982344 has 384 divisors, whose sum is σ = 8680089600. Its totient is φ = 585169920.

The previous prime is 2409982303. The next prime is 2409982349. The reversal of 2409982344 is 4432899042.

It is a happy number.

2409982344 is a `hidden beast` number, since 2 + 409 + 9 + 8 + 234 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2409982344.

It is not an unprimeable number, because it can be changed into a prime (2409982349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14430949 + ... + 14431115.

It is an arithmetic number, because the mean of its divisors is an integer number (22604400).

Almost surely, 2^2409982344 is an apocalyptic number.

2409982344 is a gapful number since it is divisible by the number (24) 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 2409982344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340044800).

2409982344 is an abundant number, since it is smaller than the sum of its proper divisors (6270107256).

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

2409982344 is a wasteful number, since it uses less digits than its factorization.

2409982344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2409982344 is about 49091.5710076587. The cubic root of 2409982344 is about 1340.7195852936.

It can be divided in two parts, 240998 and 2344, that added together give a palindrome (243342).

The spelling of 2409982344 in words is "two billion, four hundred nine million, nine hundred eighty-two thousand, three hundred forty-four".