2424342340 has 96 divisors (see below), whose sum is σ = 5919137280. Its totient is φ = 816943104.

The previous prime is 2424342329. The next prime is 2424342353. The reversal of 2424342340 is 432434242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2424342299 and 2424342308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2267326 + ... + 2268394.

It is an arithmetic number, because the mean of its divisors is an integer number (61657680).

Almost surely, 2^2424342340 is an apocalyptic number.

2424342340 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 2424342340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959568640).

2424342340 is an abundant number, since it is smaller than the sum of its proper divisors (3494794940).

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

2424342340 is a wasteful number, since it uses less digits than its factorization.

2424342340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 2424342340 is about 49237.6110305933. The cubic root of 2424342340 is about 1343.3772277970.

Adding to 2424342340 its reverse (432434242), we get a palindrome (2856776582).

The spelling of 2424342340 in words is "two billion, four hundred twenty-four million, three hundred forty-two thousand, three hundred forty".