2124122424 has 64 divisors (see below), whose sum is σ = 5460164640. Its totient is φ = 688189440.

The previous prime is 2124122417. The next prime is 2124122437. The reversal of 2124122424 is 4242214212.

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 = 2124122394 and 2124122403.

It is a congruent number.

It is an unprimeable number.

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, 268672 + ... + 276464.

Almost surely, 2^2124122424 is an apocalyptic number.

2124122424 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 2124122424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730082320).

2124122424 is an abundant number, since it is smaller than the sum of its proper divisors (3336042216).

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

2124122424 is a wasteful number, since it uses less digits than its factorization.

2124122424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120 (or 8116 counting only the distinct ones).

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

The square root of 2124122424 is about 46088.2026553434. The cubic root of 2124122424 is about 1285.4637909596.

Adding to 2124122424 its reverse (4242214212), we get a palindrome (6366336636).

The spelling of 2124122424 in words is "two billion, one hundred twenty-four million, one hundred twenty-two thousand, four hundred twenty-four".