2011424224 has 96 divisors (see below), whose sum is σ = 4413074400. Its totient is φ = 898007040.

The previous prime is 2011424203. The next prime is 2011424251. The reversal of 2011424224 is 4224241102.

It is a junction number, because it is equal to n+sod(n) for n = 2011424195 and 2011424204.

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 15 ways as a sum of consecutive naturals, for example, 929704 + ... + 931864.

It is an arithmetic number, because the mean of its divisors is an integer number (45969525).

Almost surely, 2^2011424224 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 2011424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206537200).

2011424224 is an abundant number, since it is smaller than the sum of its proper divisors (2401650176).

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

2011424224 is a wasteful number, since it uses less digits than its factorization.

2011424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2011424224 is about 44848.9043790370. The cubic root of 2011424224 is about 1262.3154333859.

Adding to 2011424224 its reverse (4224241102), we get a palindrome (6235665326).

The spelling of 2011424224 in words is "two billion, eleven million, four hundred twenty-four thousand, two hundred twenty-four".