2005542126 has 32 divisors (see below), whose sum is σ = 5093441280. Its totient is φ = 573011928.

The previous prime is 2005542113. The next prime is 2005542127. The reversal of 2005542126 is 6212455002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2005542126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005542127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2652456 + ... + 2653211.

It is an arithmetic number, because the mean of its divisors is an integer number (159170040).

Almost surely, 2^2005542126 is an apocalyptic number.

2005542126 is an abundant number, since it is smaller than the sum of its proper divisors (3087899154).

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

2005542126 is a wasteful number, since it uses less digits than its factorization.

2005542126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305685 (or 5305679 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2005542126 is about 44783.2795360054. The cubic root of 2005542126 is about 1261.0837501182.

Adding to 2005542126 its reverse (6212455002), we get a palindrome (8217997128).

The spelling of 2005542126 in words is "two billion, five million, five hundred forty-two thousand, one hundred twenty-six".