2034438224 has 120 divisors (see below), whose sum is σ = 5135653440. Its totient is φ = 762338304.

The previous prime is 2034438199. The next prime is 2034438227. The reversal of 2034438224 is 4228344302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034438227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356804 + ... + 362460.

It is an arithmetic number, because the mean of its divisors is an integer number (42797112).

Almost surely, 2^2034438224 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 2034438224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567826720).

2034438224 is an abundant number, since it is smaller than the sum of its proper divisors (3101215216).

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

2034438224 is a wasteful number, since it uses less digits than its factorization.

2034438224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 2034438224 is about 45104.7472446083. The cubic root of 2034438224 is about 1267.1115092538. Note that the first 3 decimals are identical.

The spelling of 2034438224 in words is "two billion, thirty-four million, four hundred thirty-eight thousand, two hundred twenty-four".