2004271820 has 24 divisors (see below), whose sum is σ = 4217563728. Its totient is φ = 800072000.

The previous prime is 2004271813. The next prime is 2004271823. The reversal of 2004271820 is 281724002.

It is a super-2 number, since 2×2004271820² = 8034211056892224800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2004271820.

It is not an unprimeable number, because it can be changed into a prime (2004271823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92231 + ... + 111870.

It is an arithmetic number, because the mean of its divisors is an integer number (175731822).

Almost surely, 2^2004271820 is an apocalyptic number.

2004271820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004271820 is an abundant number, since it is smaller than the sum of its proper divisors (2213291908).

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

2004271820 is a wasteful number, since it uses less digits than its factorization.

2004271820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204601 (or 204599 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 2004271820 is about 44769.0944737550. The cubic root of 2004271820 is about 1260.8174379859.

Adding to 2004271820 its reverse (281724002), we get a palindrome (2285995822).

The spelling of 2004271820 in words is "two billion, four million, two hundred seventy-one thousand, eight hundred twenty".