2005505433204 has 48 divisors (see below), whose sum is σ = 5759400221568. Its totient is φ = 528924509568.

The previous prime is 2005505433199. The next prime is 2005505433209. The reversal of 2005505433204 is 4023345055002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2005505433199) and next prime (2005505433209).

It is a super-2 number, since 2×2005505433204² (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 (2005505433209) 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, 918270627 + ... + 918272810.

It is an arithmetic number, because the mean of its divisors is an integer number (119987504616).

Almost surely, 2^{2005505433204} is an apocalyptic number.

It is an amenable number.

2005505433204 is an abundant number, since it is smaller than the sum of its proper divisors (3753894788364).

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

2005505433204 is a wasteful number, since it uses less digits than its factorization.

2005505433204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836543464 (or 1836543462 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

The spelling of 2005505433204 in words is "two trillion, five billion, five hundred five million, four hundred thirty-three thousand, two hundred four".