2005842 has 16 divisors (see below), whose sum is σ = 4036032. Its totient is φ = 664560.

The previous prime is 2005841. The next prime is 2005859. The reversal of 2005842 is 2485002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163 + ... + 2009.

It is an arithmetic number, because the mean of its divisors is an integer number (252252).

2^2005842 is an apocalyptic number.

2005842 is an abundant number, since it is smaller than the sum of its proper divisors (2030190).

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

2005842 is a wasteful number, since it uses less digits than its factorization.

2005842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2005842 is about 1416.2775151784. The cubic root of 2005842 is about 126.1146600519.

It can be divided in two parts, 20058 and 42, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 2005842 in words is "two million, five thousand, eight hundred forty-two".