2005312234434 has 32 divisors (see below), whose sum is σ = 4251205161216. Its totient is φ = 628426955520.

The previous prime is 2005312234433. The next prime is 2005312234469. The reversal of 2005312234434 is 4344322135002.

It is a junction number, because it is equal to n+sod(n) for n = 2005312234395 and 2005312234404.

It is not an unprimeable number, because it can be changed into a prime (2005312234433) 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, 10697377 + ... + 10883220.

It is an arithmetic number, because the mean of its divisors is an integer number (132850161288).

Almost surely, 2^{2005312234434} is an apocalyptic number.

2005312234434 is an abundant number, since it is smaller than the sum of its proper divisors (2245892926782).

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

2005312234434 is a wasteful number, since it uses less digits than its factorization.

2005312234434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21581530.

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 2005312234434 its reverse (4344322135002), we get a palindrome (6349634369436).

The spelling of 2005312234434 in words is "two trillion, five billion, three hundred twelve million, two hundred thirty-four thousand, four hundred thirty-four".