2005542201 has 32 divisors (see below), whose sum is σ = 3054304512. Its totient is φ = 1161135360.

The previous prime is 2005542199. The next prime is 2005542223. The reversal of 2005542201 is 1022455002.

It is a happy number.

It is not a de Polignac number, because 2005542201 - 2¹ = 2005542199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2005542251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36391 + ... + 73043.

It is an arithmetic number, because the mean of its divisors is an integer number (95447016).

Almost surely, 2^2005542201 is an apocalyptic number.

It is an amenable number.

2005542201 is a deficient number, since it is larger than the sum of its proper divisors (1048762311).

2005542201 is a wasteful number, since it uses less digits than its factorization.

2005542201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36753.

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2005542201 is about 44783.2803733715. The cubic root of 2005542201 is about 1261.0837658382.

Adding to 2005542201 its reverse (1022455002), we get a palindrome (3027997203).

The spelling of 2005542201 in words is "two billion, five million, five hundred forty-two thousand, two hundred one".