2134443124224 has 120 divisors (see below), whose sum is σ = 6167985234840. Its totient is φ = 710575792128.

The previous prime is 2134443124223. The next prime is 2134443124271. The reversal of 2134443124224 is 4224213444312.

2134443124224 is a `hidden beast` number, since 21 + 344 + 4 + 31 + 242 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134443124223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3332212 + ... + 3920780.

It is an arithmetic number, because the mean of its divisors is an integer number (51399876957).

Almost surely, 2^{2134443124224} is an apocalyptic number.

2134443124224 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 2134443124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083992617420).

2134443124224 is an abundant number, since it is smaller than the sum of its proper divisors (4033542110616).

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

2134443124224 is an equidigital number, since it uses as much as digits as its factorization.

2134443124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589380 (or 589361 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 2134443124224 its reverse (4224213444312), we get a palindrome (6358656568536).

The spelling of 2134443124224 in words is "two trillion, one hundred thirty-four billion, four hundred forty-three million, one hundred twenty-four thousand, two hundred twenty-four".