2005010042431 has 8 divisors (see below), whose sum is σ = 2209833000144. Its totient is φ = 1803945304320.

The previous prime is 2005010042419. The next prime is 2005010042471. The reversal of 2005010042431 is 1342400105002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2005010042431 - 2¹³ = 2005010034239 is a prime.

It is a super-2 number, since 2×2005010042431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005010042471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939553780 + ... + 939555913.

It is an arithmetic number, because the mean of its divisors is an integer number (276229125018).

Almost surely, 2^{2005010042431} is an apocalyptic number.

2005010042431 is a deficient number, since it is larger than the sum of its proper divisors (204822957713).

2005010042431 is a wasteful number, since it uses less digits than its factorization.

2005010042431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879109801.

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 2005010042431 its reverse (1342400105002), we get a palindrome (3347410147433).

The spelling of 2005010042431 in words is "two trillion, five billion, ten million, forty-two thousand, four hundred thirty-one".