2004214020 has 48 divisors (see below), whose sum is σ = 5855794560. Its totient is φ = 511219456.

The previous prime is 2004214001. The next prime is 2004214021. The reversal of 2004214020 is 204124002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2004214021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724785 + ... + 727544.

It is an arithmetic number, because the mean of its divisors is an integer number (121995720).

Almost surely, 2^2004214020 is an apocalyptic number.

2004214020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004214020 is an abundant number, since it is smaller than the sum of its proper divisors (3851580540).

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

2004214020 is a wasteful number, since it uses less digits than its factorization.

2004214020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452364 (or 1452362 counting only the distinct ones).

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

The square root of 2004214020 is about 44768.4489344896. The cubic root of 2004214020 is about 1260.8053178820.

Adding to 2004214020 its reverse (204124002), we get a palindrome (2208338022).

The spelling of 2004214020 in words is "two billion, four million, two hundred fourteen thousand, twenty".