2005524020034 has 48 divisors (see below), whose sum is σ = 4354584460512. Its totient is φ = 667080520704.

The previous prime is 2005524019999. The next prime is 2005524020053. The reversal of 2005524020034 is 4300204255002.

It is a happy number.

2005524020034 is a `hidden beast` number, since 20 + 0 + 552 + 40 + 20 + 0 + 34 = 666.

It is a super-2 number, since 2×2005524020034² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46982769 + ... + 47025435.

It is an arithmetic number, because the mean of its divisors is an integer number (90720509594).

Almost surely, 2^{2005524020034} is an apocalyptic number.

2005524020034 is an abundant number, since it is smaller than the sum of its proper divisors (2349060440478).

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

2005524020034 is a wasteful number, since it uses less digits than its factorization.

2005524020034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48191 (or 48188 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 2005524020034 its reverse (4300204255002), we get a palindrome (6305728275036).

The spelling of 2005524020034 in words is "two trillion, five billion, five hundred twenty-four million, twenty thousand, thirty-four".