2431122320 has 60 divisors (see below), whose sum is σ = 6212948700. Its totient is φ = 884040960.

The previous prime is 2431122311. The next prime is 2431122367. The reversal of 2431122320 is 232211342.

It can be written as a sum of positive squares in 2 ways, for example, as 1554251776 + 876870544 = 39424^2 + 29612^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2431122292 and 2431122301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115895 + ... + 135254.

It is an arithmetic number, because the mean of its divisors is an integer number (103549145).

Almost surely, 2^2431122320 is an apocalyptic number.

2431122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431122320 is an abundant number, since it is smaller than the sum of its proper divisors (3781826380).

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

2431122320 is a wasteful number, since it uses less digits than its factorization.

2431122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251184 (or 251167 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2431122320 is about 49306.4125646959. The cubic root of 2431122320 is about 1344.6283703068.

Adding to 2431122320 its reverse (232211342), we get a palindrome (2663333662).

The spelling of 2431122320 in words is "two billion, four hundred thirty-one million, one hundred twenty-two thousand, three hundred twenty".