2044340344224 has 72 divisors (see below), whose sum is σ = 5814826077060. Its totient is φ = 681302227968.

The previous prime is 2044340344219. The next prime is 2044340344253. The reversal of 2044340344224 is 4224430434402.

2044340344224 is a `hidden beast` number, since 20 + 4 + 4 + 3 + 403 + 4 + 4 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1965794676624 + 78545667600 = 1402068^2 + 280260^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611434 + ... + 2112470.

Almost surely, 2^{2044340344224} is an apocalyptic number.

2044340344224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2044340344224 is an abundant number, since it is smaller than the sum of its proper divisors (3770485732836).

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

2044340344224 is a wasteful number, since it uses less digits than its factorization.

2044340344224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505782 (or 1505771 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 2044340344224 its reverse (4224430434402), we get a palindrome (6268770778626).

The spelling of 2044340344224 in words is "two trillion, forty-four billion, three hundred forty million, three hundred forty-four thousand, two hundred twenty-four".