2005224331424 has 24 divisors (see below), whose sum is σ = 3976601363028. Its totient is φ = 995293826560.

The previous prime is 2005224331421. The next prime is 2005224331459. The reversal of 2005224331424 is 4241334225002.

It can be written as a sum of positive squares in 2 ways, for example, as 1953118051600 + 52106279824 = 1397540^2 + 228268^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2005224331421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 228693647 + ... + 228702414.

Almost surely, 2^{2005224331424} is an apocalyptic number.

It is an amenable number.

2005224331424 is a deficient number, since it is larger than the sum of its proper divisors (1971377031604).

2005224331424 is a wasteful number, since it uses less digits than its factorization.

2005224331424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457396208 (or 457396200 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 2005224331424 its reverse (4241334225002), we get a palindrome (6246558556426).

The spelling of 2005224331424 in words is "two trillion, five billion, two hundred twenty-four million, three hundred thirty-one thousand, four hundred twenty-four".