2004420624 has 40 divisors (see below), whose sum is σ = 5189376192. Its totient is φ = 666683520.

The previous prime is 2004420623. The next prime is 2004420653. The reversal of 2004420624 is 4260244002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2004420594 and 2004420603.

It is not an unprimeable number, because it can be changed into a prime (2004420623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23164 + ... + 67419.

Almost surely, 2^2004420624 is an apocalyptic number.

2004420624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2004420624 is an abundant number, since it is smaller than the sum of its proper divisors (3184955568).

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

2004420624 is a wasteful number, since it uses less digits than its factorization.

2004420624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91055 (or 91049 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2004420624 is about 44770.7563483129. The cubic root of 2004420624 is about 1260.8486396811.

Adding to 2004420624 its reverse (4260244002), we get a palindrome (6264664626).

The spelling of 2004420624 in words is "two billion, four million, four hundred twenty thousand, six hundred twenty-four".