2005206126 has 128 divisors (see below), whose sum is σ = 5158425600. Its totient is φ = 515088000.

The previous prime is 2005206107. The next prime is 2005206179. The reversal of 2005206126 is 6216025002.

It is a junction number, because it is equal to n+sod(n) for n = 2005206096 and 2005206105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2286000 + ... + 2286876.

It is an arithmetic number, because the mean of its divisors is an integer number (40300200).

Almost surely, 2^2005206126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005206126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579212800).

2005206126 is an abundant number, since it is smaller than the sum of its proper divisors (3153219474).

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

2005206126 is a wasteful number, since it uses less digits than its factorization.

2005206126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2005206126 is about 44779.5279787539. The cubic root of 2005206126 is about 1261.0133206485.

The spelling of 2005206126 in words is "two billion, five million, two hundred six thousand, one hundred twenty-six".