2034341340444 has 192 divisors, whose sum is σ = 6086812677120. Its totient is φ = 575543162880.

The previous prime is 2034341340419. The next prime is 2034341340457. The reversal of 2034341340444 is 4440431434302.

2034341340444 is a `hidden beast` number, since 20 + 34 + 34 + 134 + 0 + 444 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2034341340399 and 2034341340408.

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 63 ways as a sum of consecutive naturals, for example, 234339784 + ... + 234348464.

It is an arithmetic number, because the mean of its divisors is an integer number (31702149360).

Almost surely, 2^{2034341340444} 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 2034341340444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043406338560).

2034341340444 is an abundant number, since it is smaller than the sum of its proper divisors (4052471336676).

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

2034341340444 is a wasteful number, since it uses less digits than its factorization.

2034341340444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11705 (or 11697 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 2034341340444 its reverse (4440431434302), we get a palindrome (6474772774746).

The spelling of 2034341340444 in words is "two trillion, thirty-four billion, three hundred forty-one million, three hundred forty thousand, four hundred forty-four".