2124434004 has 288 divisors, whose sum is σ = 6756825600. Its totient is φ = 512144640.

The previous prime is 2124434003. The next prime is 2124434041. The reversal of 2124434004 is 4004344212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124434003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7250482 + ... + 7250774.

It is an arithmetic number, because the mean of its divisors is an integer number (23461200).

Almost surely, 2^2124434004 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 2124434004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378412800).

2124434004 is an abundant number, since it is smaller than the sum of its proper divisors (4632391596).

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

2124434004 is a wasteful number, since it uses less digits than its factorization.

2124434004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2124434004 is about 46091.5827890516. The cubic root of 2124434004 is about 1285.5266412645.

Adding to 2124434004 its reverse (4004344212), we get a palindrome (6128778216).

The spelling of 2124434004 in words is "two billion, one hundred twenty-four million, four hundred thirty-four thousand, four".