2004042420 has 72 divisors (see below), whose sum is σ = 6094768680. Its totient is φ = 533018880.

The previous prime is 2004042409. The next prime is 2004042431. The reversal of 2004042420 is 242404002.

2004042420 is a `hidden beast` number, since 20 + 0 + 404 + 242 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2004042409) and next prime (2004042431).

It can be written as a sum of positive squares in 4 ways, for example, as 53406864 + 1950635556 = 7308^2 + 44166^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2004042393 and 2004042402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55710 + ... + 84330.

It is an arithmetic number, because the mean of its divisors is an integer number (84649565).

Almost surely, 2^2004042420 is an apocalyptic number.

2004042420 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 2004042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047384340).

2004042420 is an abundant number, since it is smaller than the sum of its proper divisors (4090726260).

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

2004042420 is a wasteful number, since it uses less digits than its factorization.

2004042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29025 (or 29020 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2004042420 is about 44766.5323651497. The cubic root of 2004042420 is about 1260.7693336399.

Adding to 2004042420 its reverse (242404002), we get a palindrome (2246446422).

The spelling of 2004042420 in words is "two billion, four million, forty-two thousand, four hundred twenty".