2011330224 has 80 divisors (see below), whose sum is σ = 5838242400. Its totient is φ = 662897664.

The previous prime is 2011330199. The next prime is 2011330229. The reversal of 2011330224 is 4220331102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2011330197 and 2011330206.

It is not an unprimeable number, because it can be changed into a prime (2011330229) 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, 12292 + ... + 64604.

It is an arithmetic number, because the mean of its divisors is an integer number (72978030).

Almost surely, 2^2011330224 is an apocalyptic number.

2011330224 is a gapful number since it is divisible by the number (24) 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 2011330224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919121200).

2011330224 is an abundant number, since it is smaller than the sum of its proper divisors (3826912176).

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

2011330224 is a wasteful number, since it uses less digits than its factorization.

2011330224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52419 (or 52407 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2011330224 is about 44847.8564036231. The cubic root of 2011330224 is about 1262.2957691271.

Adding to 2011330224 its reverse (4220331102), we get a palindrome (6231661326).

The spelling of 2011330224 in words is "two billion, eleven million, three hundred thirty thousand, two hundred twenty-four".