2124133224 has 32 divisors (see below), whose sum is σ = 5311468320. Its totient is φ = 707893056.

The previous prime is 2124133223. The next prime is 2124133229. The reversal of 2124133224 is 4223314212.

It is a happy number.

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 = 2124133194 and 2124133203.

It is not an unprimeable number, because it can be changed into a prime (2124133223) by changing a digit.

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, 197982 + ... + 208434.

It is an arithmetic number, because the mean of its divisors is an integer number (165983385).

Almost surely, 2^2124133224 is an apocalyptic number.

2124133224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2124133224 is an abundant number, since it is smaller than the sum of its proper divisors (3187335096).

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

2124133224 is a wasteful number, since it uses less digits than its factorization.

2124133224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18929 (or 18925 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2124133224 is about 46088.3198218377. The cubic root of 2124133224 is about 1285.4659695825.

Adding to 2124133224 its reverse (4223314212), we get a palindrome (6347447436).

The spelling of 2124133224 in words is "two billion, one hundred twenty-four million, one hundred thirty-three thousand, two hundred twenty-four".