2431436128 has 96 divisors (see below), whose sum is σ = 5314982400. Its totient is φ = 1085736960.

The previous prime is 2431436083. The next prime is 2431436129. The reversal of 2431436128 is 8216341342.

It is a junction number, because it is equal to n+sod(n) for n = 2431436093 and 2431436102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431436129) 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 15 ways as a sum of consecutive naturals, for example, 7214776 + ... + 7215112.

It is an arithmetic number, because the mean of its divisors is an integer number (55364400).

Almost surely, 2^2431436128 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 2431436128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657491200).

2431436128 is an abundant number, since it is smaller than the sum of its proper divisors (2883546272).

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

2431436128 is a wasteful number, since it uses less digits than its factorization.

2431436128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 2431436128 is about 49309.5946850103. The cubic root of 2431436128 is about 1344.6862224604.

The spelling of 2431436128 in words is "two billion, four hundred thirty-one million, four hundred thirty-six thousand, one hundred twenty-eight".