2134104412224 has 112 divisors (see below), whose sum is σ = 5778916478720. Its totient is φ = 694690214400.

The previous prime is 2134104412217. The next prime is 2134104412247. The reversal of 2134104412224 is 4222144014312.

It is a junction number, because it is equal to n+sod(n) for n = 2134104412191 and 2134104412200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48283767 + ... + 48327945.

It is an arithmetic number, because the mean of its divisors is an integer number (51597468560).

Almost surely, 2^{2134104412224} is an apocalyptic number.

2134104412224 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 2134104412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889458239360).

2134104412224 is an abundant number, since it is smaller than the sum of its proper divisors (3644812066496).

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

2134104412224 is a wasteful number, since it uses less digits than its factorization.

2134104412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50088 (or 50078 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2134104412224 its reverse (4222144014312), we get a palindrome (6356248426536).

The spelling of 2134104412224 in words is "two trillion, one hundred thirty-four billion, one hundred four million, four hundred twelve thousand, two hundred twenty-four".