2005204065306 has 32 divisors (see below), whose sum is σ = 4319093002560. Its totient is φ = 616958446464.

The previous prime is 2005204065299. The next prime is 2005204065331. The reversal of 2005204065306 is 6035604025002.

It is a super-2 number, since 2×2005204065306² (a number of 25 digits) contains 22 as substring.

It is a Curzon 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, 1231350 + ... + 2350878.

It is an arithmetic number, because the mean of its divisors is an integer number (134971656330).

Almost surely, 2^{2005204065306} is an apocalyptic number.

2005204065306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2005204065306 is an abundant number, since it is smaller than the sum of its proper divisors (2313888937254).

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

2005204065306 is a wasteful number, since it uses less digits than its factorization.

2005204065306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142510.

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 2005204065306 in words is "two trillion, five billion, two hundred four million, sixty-five thousand, three hundred six".