2000624013 has 24 divisors (see below), whose sum is σ = 2945404800. Its totient is φ = 1308273120.

The previous prime is 2000623993. The next prime is 2000624023. The reversal of 2000624013 is 3104260002.

It is a happy number.

2000624013 is a `hidden beast` number, since 200 + 0 + 62 + 401 + 3 = 666.

It is not a de Polignac number, because 2000624013 - 2¹² = 2000619917 is a prime.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000624023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119295 + ... + 135027.

It is an arithmetic number, because the mean of its divisors is an integer number (122725200).

Almost surely, 2^2000624013 is an apocalyptic number.

It is an amenable number.

2000624013 is a deficient number, since it is larger than the sum of its proper divisors (944780787).

2000624013 is a wasteful number, since it uses less digits than its factorization.

2000624013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16009 (or 16006 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2000624013 is about 44728.3356833227. The cubic root of 2000624013 is about 1260.0520707884.

Adding to 2000624013 its reverse (3104260002), we get a palindrome (5104884015).

The spelling of 2000624013 in words is "two billion, six hundred twenty-four thousand, thirteen".