2011134424 has 128 divisors (see below), whose sum is σ = 4364236800. Its totient is φ = 862202880.

The previous prime is 2011134413. The next prime is 2011134457. The reversal of 2011134424 is 4244311102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2011134395 and 2011134404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12338167 + ... + 12338329.

It is an arithmetic number, because the mean of its divisors is an integer number (34095600).

Almost surely, 2^2011134424 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 2011134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182118400).

2011134424 is an abundant number, since it is smaller than the sum of its proper divisors (2353102376).

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

2011134424 is a wasteful number, since it uses less digits than its factorization.

2011134424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2011134424 is about 44845.6734145001. The cubic root of 2011134424 is about 1262.2548069272.

Adding to 2011134424 its reverse (4244311102), we get a palindrome (6255445526).

The spelling of 2011134424 in words is "two billion, eleven million, one hundred thirty-four thousand, four hundred twenty-four".