2005542112 has 96 divisors (see below), whose sum is σ = 4817594880. Its totient is φ = 802690560.

The previous prime is 2005542103. The next prime is 2005542113. The reversal of 2005542112 is 2112455002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005542113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298858 + ... + 305494.

It is an arithmetic number, because the mean of its divisors is an integer number (50183280).

Almost surely, 2^2005542112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005542112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408797440).

2005542112 is an abundant number, since it is smaller than the sum of its proper divisors (2812052768).

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

2005542112 is a wasteful number, since it uses less digits than its factorization.

2005542112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 2005542112 is about 44783.2793796971. The cubic root of 2005542112 is about 1261.0837471838.

Adding to 2005542112 its reverse (2112455002), we get a palindrome (4117997114).

The spelling of 2005542112 in words is "two billion, five million, five hundred forty-two thousand, one hundred twelve".