2005335434420 has 48 divisors (see below), whose sum is σ = 4348141045248. Its totient is φ = 776063998080.

The previous prime is 2005335434413. The next prime is 2005335434447. The reversal of 2005335434420 is 244345335002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2077862 + ... + 2885858.

It is an arithmetic number, because the mean of its divisors is an integer number (90586271776).

Almost surely, 2^{2005335434420} is an apocalyptic number.

2005335434420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005335434420 is an abundant number, since it is smaller than the sum of its proper divisors (2342805610828).

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

2005335434420 is a wasteful number, since it uses less digits than its factorization.

2005335434420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812040 (or 812038 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

The spelling of 2005335434420 in words is "two trillion, five billion, three hundred thirty-five million, four hundred thirty-four thousand, four hundred twenty".