2011004224 has 56 divisors (see below), whose sum is σ = 4158252288. Its totient is φ = 963870720.

The previous prime is 2011004189. The next prime is 2011004243. The reversal of 2011004224 is 4224001102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2011004198 and 2011004207.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 207552 + ... + 217024.

Almost surely, 2^2011004224 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 2011004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079126144).

2011004224 is an abundant number, since it is smaller than the sum of its proper divisors (2147248064).

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

2011004224 is a wasteful number, since it uses less digits than its factorization.

2011004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623 (or 9613 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2011004224 is about 44844.2217459507. The cubic root of 2011004224 is about 1262.2275670569.

Adding to 2011004224 its reverse (4224001102), we get a palindrome (6235005326).

The spelling of 2011004224 in words is "two billion, eleven million, four thousand, two hundred twenty-four".