2034112210344 has 160 divisors (see below), whose sum is σ = 6034598539200. Its totient is φ = 637934952960.

The previous prime is 2034112210343. The next prime is 2034112210393. The reversal of 2034112210344 is 4430122114302.

2034112210344 is a `hidden beast` number, since 2 + 0 + 3 + 411 + 2 + 210 + 34 + 4 = 666.

It is a super-2 number, since 2×2034112210344² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2034112210343) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 33888279 + ... + 33948249.

It is an arithmetic number, because the mean of its divisors is an integer number (37716240870).

Almost surely, 2^{2034112210344} is an apocalyptic number.

2034112210344 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 2034112210344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017299269600).

2034112210344 is an abundant number, since it is smaller than the sum of its proper divisors (4000486328856).

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

2034112210344 is a wasteful number, since it uses less digits than its factorization.

2034112210344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63085 (or 63072 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2034112210344 its reverse (4430122114302), we get a palindrome (6464234324646).

The spelling of 2034112210344 in words is "two trillion, thirty-four billion, one hundred twelve million, two hundred ten thousand, three hundred forty-four".