2005334200331 has 32 divisors (see below), whose sum is σ = 2515969589760. Its totient is φ = 1552734892800.

The previous prime is 2005334200319. The next prime is 2005334200367. The reversal of 2005334200331 is 1330024335002.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-2005334200331 is a prime.

It is a super-2 number, since 2×2005334200331² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2005334200331.

It is not an unprimeable number, because it can be changed into a prime (2005334200231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12190016 + ... + 12353426.

It is an arithmetic number, because the mean of its divisors is an integer number (78624049680).

Almost surely, 2^{2005334200331} is an apocalyptic number.

2005334200331 is a deficient number, since it is larger than the sum of its proper divisors (510635389429).

2005334200331 is a wasteful number, since it uses less digits than its factorization.

2005334200331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164435.

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 2005334200331 its reverse (1330024335002), we get a palindrome (3335358535333).

The spelling of 2005334200331 in words is "two trillion, five billion, three hundred thirty-four million, two hundred thousand, three hundred thirty-one".