2004242020 has 96 divisors (see below), whose sum is σ = 4688409600. Its totient is φ = 713581440.

The previous prime is 2004242003. The next prime is 2004242027. The reversal of 2004242020 is 202424002.

It is a junction number, because it is equal to n+sod(n) for n = 2004241985 and 2004242003.

It is not an unprimeable number, because it can be changed into a prime (2004242027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3345681 + ... + 3346279.

It is an arithmetic number, because the mean of its divisors is an integer number (48837600).

Almost surely, 2^2004242020 is an apocalyptic number.

2004242020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344204800).

2004242020 is an abundant number, since it is smaller than the sum of its proper divisors (2684167580).

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

2004242020 is a wasteful number, since it uses less digits than its factorization.

2004242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2004242020 is about 44768.7616536352. The cubic root of 2004242020 is about 1260.8111892417.

Adding to 2004242020 its reverse (202424002), we get a palindrome (2206666022).

The spelling of 2004242020 in words is "two billion, four million, two hundred forty-two thousand, twenty".