2005534024 has 64 divisors (see below), whose sum is σ = 4171613040. Its totient is φ = 898007040.

The previous prime is 2005534007. The next prime is 2005534043. The reversal of 2005534024 is 4204355002.

It can be written as a sum of positive squares in 8 ways, for example, as 369331524 + 1636202500 = 19218^2 + 40450^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2005534024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821734 + ... + 824170.

Almost surely, 2^2005534024 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 2005534024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085806520).

2005534024 is an abundant number, since it is smaller than the sum of its proper divisors (2166079016).

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

2005534024 is a wasteful number, since it uses less digits than its factorization.

2005534024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2005534024 is about 44783.1890780458. The cubic root of 2005534024 is about 1261.0820519383.

Adding to 2005534024 its reverse (4204355002), we get a palindrome (6209889026).

The spelling of 2005534024 in words is "two billion, five million, five hundred thirty-four thousand, twenty-four".