2004102024 has 32 divisors (see below), whose sum is σ = 5011554240. Its totient is φ = 667860800.

The previous prime is 2004102011. The next prime is 2004102031. The reversal of 2004102024 is 4202014002.

2004102024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2004101994 and 2004102012.

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, 112189 + ... + 128819.

It is an arithmetic number, because the mean of its divisors is an integer number (156611070).

Almost surely, 2^2004102024 is an apocalyptic number.

2004102024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2004102024 is an abundant number, since it is smaller than the sum of its proper divisors (3007452216).

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

2004102024 is a wasteful number, since it uses less digits than its factorization.

2004102024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21661 (or 21657 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2004102024 is about 44767.1980807376. The cubic root of 2004102024 is about 1260.7818327350.

Adding to 2004102024 its reverse (4202014002), we get a palindrome (6206116026).

The spelling of 2004102024 in words is "two billion, four million, one hundred two thousand, twenty-four".