2005200024 has 16 divisors (see below), whose sum is σ = 5013000120. Its totient is φ = 668400000.

The previous prime is 2005200013. The next prime is 2005200047. The reversal of 2005200024 is 4200025002.

2005200024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2005200024⁴ (a number of 38 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005199976 and 2005200012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41774977 + ... + 41775024.

Almost surely, 2^2005200024 is an apocalyptic number.

2005200024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2005200024 is an abundant number, since it is smaller than the sum of its proper divisors (3007800096).

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

2005200024 is a wasteful number, since it uses less digits than its factorization.

2005200024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83550010 (or 83550006 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2005200024 is about 44779.4598448887. The cubic root of 2005200024 is about 1261.0120415263.

Adding to 2005200024 its reverse (4200025002), we get a palindrome (6205225026).

The spelling of 2005200024 in words is "two billion, five million, two hundred thousand, twenty-four".