2121323424 has 96 divisors (see below), whose sum is σ = 6094823616. Its totient is φ = 640696320.

The previous prime is 2121323423. The next prime is 2121323431. The reversal of 2121323424 is 4243231212.

It is a happy number.

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

It is a super-2 number, since 2×2121323424² = 9000026138422167552, which contains 22 as substring.

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 = 2121323394 and 2121323403.

It is not an unprimeable number, because it can be changed into a prime (2121323423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331584 + ... + 337920.

It is an arithmetic number, because the mean of its divisors is an integer number (63487746).

Almost surely, 2^2121323424 is an apocalyptic number.

2121323424 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 2121323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047411808).

2121323424 is an abundant number, since it is smaller than the sum of its proper divisors (3973500192).

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

2121323424 is a wasteful number, since it uses less digits than its factorization.

2121323424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6678 (or 6670 counting only the distinct ones).

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

The square root of 2121323424 is about 46057.8269569896. The cubic root of 2121323424 is about 1284.8989153730.

Adding to 2121323424 its reverse (4243231212), we get a palindrome (6364554636).

The spelling of 2121323424 in words is "two billion, one hundred twenty-one million, three hundred twenty-three thousand, four hundred twenty-four".