2431442024 has 64 divisors (see below), whose sum is σ = 5132937600. Its totient is φ = 1070156800.

The previous prime is 2431441981. The next prime is 2431442029. The reversal of 2431442024 is 4202441342.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2431441984 and 2431442002.

It is not an unprimeable number, because it can be changed into a prime (2431442029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491837 + ... + 496755.

It is an arithmetic number, because the mean of its divisors is an integer number (80202150).

Almost surely, 2^2431442024 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 2431442024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566468800).

2431442024 is an abundant number, since it is smaller than the sum of its proper divisors (2701495576).

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

2431442024 is a wasteful number, since it uses less digits than its factorization.

2431442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2431442024 is about 49309.6544704990. The cubic root of 2431442024 is about 1344.6873093714.

Adding to 2431442024 its reverse (4202441342), we get a palindrome (6633883366).

The spelling of 2431442024 in words is "two billion, four hundred thirty-one million, four hundred forty-two thousand, twenty-four".