2431001241 has 60 divisors (see below), whose sum is σ = 3991816620. Its totient is φ = 1472325120.

The previous prime is 2431001203. The next prime is 2431001281. The reversal of 2431001241 is 1421001342.

It can be written as a sum of positive squares in 6 ways, for example, as 626450841 + 1804550400 = 25029^2 + 42480^2 .

It is not a de Polignac number, because 2431001241 - 2⁹ = 2431000729 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431001281) 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 59 ways as a sum of consecutive naturals, for example, 677071 + ... + 680651.

It is an arithmetic number, because the mean of its divisors is an integer number (66530277).

Almost surely, 2^2431001241 is an apocalyptic number.

It is an amenable number.

2431001241 is a deficient number, since it is larger than the sum of its proper divisors (1560815379).

2431001241 is a wasteful number, since it uses less digits than its factorization.

2431001241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2431001241 is about 49305.1847273692. The cubic root of 2431001241 is about 1344.6060474260.

Adding to 2431001241 its reverse (1421001342), we get a palindrome (3852002583).

The spelling of 2431001241 in words is "two billion, four hundred thirty-one million, one thousand, two hundred forty-one".