2005434144293 has 8 divisors (see below), whose sum is σ = 2049160936608. Its totient is φ = 1961925441424.

The previous prime is 2005434144289. The next prime is 2005434144299. The reversal of 2005434144293 is 3924414345002.

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 2005434144293 - 2² = 2005434144289 is a prime.

It is a super-2 number, since 2×2005434144293² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2005434144293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005434144299) 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, 54503771 + ... + 54540552.

It is an arithmetic number, because the mean of its divisors is an integer number (256145117076).

Almost surely, 2^{2005434144293} is an apocalyptic number.

It is an amenable number.

2005434144293 is a deficient number, since it is larger than the sum of its proper divisors (43726792315).

2005434144293 is a wasteful number, since it uses less digits than its factorization.

2005434144293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109044723.

The product of its (nonzero) digits is 414720, while the sum is 41.

Adding to 2005434144293 its reverse (3924414345002), we get a palindrome (5929848489295).

The spelling of 2005434144293 in words is "two trillion, five billion, four hundred thirty-four million, one hundred forty-four thousand, two hundred ninety-three".