2011205300 has 72 divisors (see below), whose sum is σ = 4827175416. Its totient is φ = 722511360.

The previous prime is 2011205299. The next prime is 2011205311. The reversal of 2011205300 is 35021102.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 883991824 + 1127213476 = 29732^2 + 33574^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27194 + ... + 69006.

It is an arithmetic number, because the mean of its divisors is an integer number (67044103).

Almost surely, 2^2011205300 is an apocalyptic number.

2011205300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011205300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413587708).

2011205300 is an abundant number, since it is smaller than the sum of its proper divisors (2815970116).

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

2011205300 is a wasteful number, since it uses less digits than its factorization.

2011205300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41877 (or 41870 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2011205300 is about 44846.4636286965. The cubic root of 2011205300 is about 1262.2696347975.

Adding to 2011205300 its reverse (35021102), we get a palindrome (2046226402).

The spelling of 2011205300 in words is "two billion, eleven million, two hundred five thousand, three hundred".