2005303424 has 32 divisors (see below), whose sum is σ = 4030322940. Its totient is φ = 993771520.

The previous prime is 2005303423. The next prime is 2005303429. The reversal of 2005303424 is 4243035002.

It can be written as a sum of positive squares in 2 ways, for example, as 1459240000 + 546063424 = 38200^2 + 23368^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2005303424² = 8042483644612247552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2005303424.

It is not an unprimeable number, because it can be changed into a prime (2005303423) 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 3 ways as a sum of consecutive naturals, for example, 54857 + ... + 83784.

Almost surely, 2^2005303424 is an apocalyptic number.

It is an amenable number.

2005303424 is an abundant number, since it is smaller than the sum of its proper divisors (2025019516).

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

2005303424 is a wasteful number, since it uses less digits than its factorization.

2005303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138768 (or 138756 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 2005303424 is about 44780.6143772057. The cubic root of 2005303424 is about 1261.0337162391.

Adding to 2005303424 its reverse (4243035002), we get a palindrome (6248338426).

The spelling of 2005303424 in words is "two billion, five million, three hundred three thousand, four hundred twenty-four".