2134243020224 has 224 divisors, whose sum is σ = 5193017174016. Its totient is φ = 849450516480.

The previous prime is 2134243020199. The next prime is 2134243020277. The reversal of 2134243020224 is 4220203424312.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2134243020224² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697235654 + ... + 697238714.

It is an arithmetic number, because the mean of its divisors is an integer number (23183112384).

Almost surely, 2^{2134243020224} 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 2134243020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596508587008).

2134243020224 is an abundant number, since it is smaller than the sum of its proper divisors (3058774153792).

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

2134243020224 is a wasteful number, since it uses less digits than its factorization.

2134243020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 2134243020224 its reverse (4220203424312), we get a palindrome (6354446444536).

The spelling of 2134243020224 in words is "two trillion, one hundred thirty-four billion, two hundred forty-three million, twenty thousand, two hundred twenty-four".