2124334212 has 384 divisors, whose sum is σ = 7185604608. Its totient is φ = 470016000.

The previous prime is 2124334183. The next prime is 2124334259.

It is a happy number.

2124334212 is nontrivially palindromic in base 10.

2124334212 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20624553 + ... + 20624655.

It is an arithmetic number, because the mean of its divisors is an integer number (18712512).

Almost surely, 2^2124334212 is an apocalyptic number.

2124334212 is a gapful number since it is divisible by the number (22) 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 2124334212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592802304).

2124334212 is an abundant number, since it is smaller than the sum of its proper divisors (5061270396).

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

2124334212 is a wasteful number, since it uses less digits than its factorization.

2124334212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

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

The square root of 2124334212 is about 46090.5002359488. The cubic root of 2124334212 is about 1285.5065124077.

It can be divided in two parts, 21243 and 34212, that added together give a palindrome (55455).

The spelling of 2124334212 in words is "two billion, one hundred twenty-four million, three hundred thirty-four thousand, two hundred twelve".