2121424224 has 96 divisors (see below), whose sum is σ = 5657952384. Its totient is φ = 695884800.

The previous prime is 2121424223. The next prime is 2121424229. The reversal of 2121424224 is 4224241212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2121424194 and 2121424203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121424223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3529524 + ... + 3530124.

It is an arithmetic number, because the mean of its divisors is an integer number (58937004).

Almost surely, 2^2121424224 is an apocalyptic number.

2121424224 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 2121424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828976192).

2121424224 is an abundant number, since it is smaller than the sum of its proper divisors (3536528160).

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

2121424224 is a wasteful number, since it uses less digits than its factorization.

2121424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1132 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 2121424224 is about 46058.9212205410. The cubic root of 2121424224 is about 1284.9192667816.

Adding to 2121424224 its reverse (4224241212), we get a palindrome (6345665436).

The spelling of 2121424224 in words is "two billion, one hundred twenty-one million, four hundred twenty-four thousand, two hundred twenty-four".