2011413800 has 48 divisors (see below), whose sum is σ = 5101682400. Its totient is φ = 731422400.

The previous prime is 2011413797. The next prime is 2011413809. The reversal of 2011413800 is 83141102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2011413809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454940 + ... + 459339.

It is an arithmetic number, because the mean of its divisors is an integer number (106285050).

Almost surely, 2^2011413800 is an apocalyptic number.

2011413800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011413800 is an abundant number, since it is smaller than the sum of its proper divisors (3090268600).

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

2011413800 is a wasteful number, since it uses less digits than its factorization.

2011413800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914306 (or 914297 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2011413800 is about 44848.7881664600. The cubic root of 2011413800 is about 1262.3132527753.

Adding to 2011413800 its reverse (83141102), we get a palindrome (2094554902).

The spelling of 2011413800 in words is "two billion, eleven million, four hundred thirteen thousand, eight hundred".