2005024520 has 32 divisors (see below), whose sum is σ = 4518189720. Its totient is φ = 800785920.

The previous prime is 2005024481. The next prime is 2005024531. The reversal of 2005024520 is 254205002.

It can be written as a sum of positive squares in 4 ways, for example, as 1995051556 + 9972964 = 44666^2 + 3158^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2005024492 and 2005024501.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11477 + ... + 64356.

Almost surely, 2^2005024520 is an apocalyptic number.

2005024520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005024520 is an abundant number, since it is smaller than the sum of its proper divisors (2513165200).

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

2005024520 is a wasteful number, since it uses less digits than its factorization.

2005024520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76505 (or 76501 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2005024520 is about 44777.5001535369. The cubic root of 2005024520 is about 1260.9752506639.

Adding to 2005024520 its reverse (254205002), we get a palindrome (2259229522).

The spelling of 2005024520 in words is "two billion, five million, twenty-four thousand, five hundred twenty".