2124434310 has 64 divisors (see below), whose sum is σ = 5280712704. Its totient is φ = 546627200.

The previous prime is 2124434287. The next prime is 2124434317. The reversal of 2124434310 is 134344212.

It is a super-2 number, since 2×2124434310² = 9026442275010352200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124434317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89500 + ... + 110720.

It is an arithmetic number, because the mean of its divisors is an integer number (82511136).

Almost surely, 2^2124434310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124434310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640356352).

2124434310 is an abundant number, since it is smaller than the sum of its proper divisors (3156278394).

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

2124434310 is a wasteful number, since it uses less digits than its factorization.

2124434310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21349.

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

The square root of 2124434310 is about 46091.5861085296. The cubic root of 2124434310 is about 1285.5267029862.

Adding to 2124434310 its reverse (134344212), we get a palindrome (2258778522).

The spelling of 2124434310 in words is "two billion, one hundred twenty-four million, four hundred thirty-four thousand, three hundred ten".