2112434340 has 96 divisors (see below), whose sum is σ = 6216228480. Its totient is φ = 535320576.

The previous prime is 2112434293. The next prime is 2112434341. The reversal of 2112434340 is 434342112.

2112434340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112434340² = 8924757681622471200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112434340.

It is not an unprimeable number, because it can be changed into a prime (2112434341) 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, 84396 + ... + 106524.

It is an arithmetic number, because the mean of its divisors is an integer number (64752380).

Almost surely, 2^2112434340 is an apocalyptic number.

2112434340 is a gapful number since it is divisible by the number (20) 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 2112434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108114240).

2112434340 is an abundant number, since it is smaller than the sum of its proper divisors (4103794140).

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

2112434340 is a wasteful number, since it uses less digits than its factorization.

2112434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22221 (or 22219 counting only the distinct ones).

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

The square root of 2112434340 is about 45961.2264849405. The cubic root of 2112434340 is about 1283.1016780191.

Adding to 2112434340 its reverse (434342112), we get a palindrome (2546776452).

The spelling of 2112434340 in words is "two billion, one hundred twelve million, four hundred thirty-four thousand, three hundred forty".