2431424320 has 112 divisors (see below), whose sum is σ = 6602169168. Its totient is φ = 844922880.

The previous prime is 2431424287. The next prime is 2431424341. The reversal of 2431424320 is 234241342.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 292546816 + 2138877504 = 17104^2 + 46248^2 .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53530 + ... + 87910.

It is an arithmetic number, because the mean of its divisors is an integer number (58947939).

Almost surely, 2^2431424320 is an apocalyptic number.

2431424320 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 2431424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301084584).

2431424320 is an abundant number, since it is smaller than the sum of its proper divisors (4170744848).

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

2431424320 is a wasteful number, since it uses less digits than its factorization.

2431424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34428 (or 34418 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2431424320 is about 49309.4749515750. The cubic root of 2431424320 is about 1344.6840456837.

Adding to 2431424320 its reverse (234241342), we get a palindrome (2665665662).

The spelling of 2431424320 in words is "two billion, four hundred thirty-one million, four hundred twenty-four thousand, three hundred twenty".