2134224134244 has 108 divisors (see below), whose sum is σ = 5743408365604. Its totient is φ = 668093902848.

The previous prime is 2134224134089. The next prime is 2134224134281. The reversal of 2134224134244 is 4424314224312.

2134224134244 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 224 + 1 + 3 + 424 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 389922815844 + 1744301318400 = 624438^2 + 1320720^2 .

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 junction number, because it is equal to n+sod(n) for n = 2134224134199 and 2134224134208.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4530192 + ... + 4979064.

Almost surely, 2^{2134224134244} 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 2134224134244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871704182802).

2134224134244 is an abundant number, since it is smaller than the sum of its proper divisors (3609184231360).

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

2134224134244 is a wasteful number, since it uses less digits than its factorization.

2134224134244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449374 (or 449352 counting only the distinct ones).

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

Adding to 2134224134244 its reverse (4424314224312), we get a palindrome (6558538358556).

The spelling of 2134224134244 in words is "two trillion, one hundred thirty-four billion, two hundred twenty-four million, one hundred thirty-four thousand, two hundred forty-four".