2005442012 has 36 divisors (see below), whose sum is σ = 4108573224. Its totient is φ = 853987680.

The previous prime is 2005442011. The next prime is 2005442029. The reversal of 2005442012 is 2102445002.

It is a happy number.

It is a super-4 number, since 4×2005442012⁴ (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005442011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1814 + ... + 63357.

It is an arithmetic number, because the mean of its divisors is an integer number (114127034).

Almost surely, 2^2005442012 is an apocalyptic number.

It is an amenable number.

2005442012 is an abundant number, since it is smaller than the sum of its proper divisors (2103131212).

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

2005442012 is a wasteful number, since it uses less digits than its factorization.

2005442012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65346 (or 65337 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2005442012 is about 44782.1617611298. The cubic root of 2005442012 is about 1261.0627658936.

Adding to 2005442012 its reverse (2102445002), we get a palindrome (4107887014).

The spelling of 2005442012 in words is "two billion, five million, four hundred forty-two thousand, twelve".