2004024242420 has 48 divisors (see below), whose sum is σ = 4327962038400. Its totient is φ = 779033033856.

The previous prime is 2004024242411. The next prime is 2004024242447. The reversal of 2004024242420 is 242424204002.

It is a super-2 number, since 2×2004024242420² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2004024242420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5683787 + ... + 6026066.

It is an arithmetic number, because the mean of its divisors is an integer number (90165875800).

Almost surely, 2^{2004024242420} is an apocalyptic number.

2004024242420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004024242420 is an abundant number, since it is smaller than the sum of its proper divisors (2323937795980).

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

2004024242420 is a wasteful number, since it uses less digits than its factorization.

2004024242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11710104 (or 11710102 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2004024242420 its reverse (242424204002), we get a palindrome (2246448446422).

The spelling of 2004024242420 in words is "two trillion, four billion, twenty-four million, two hundred forty-two thousand, four hundred twenty".