2004200420 has 48 divisors (see below), whose sum is σ = 4260800880. Its totient is φ = 791814144.

The previous prime is 2004200399. The next prime is 2004200447. The reversal of 2004200420 is 240024002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 78570496 + 1925629924 = 8864^2 + 43882^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2004200395 and 2004200404.

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, 1568822 + ... + 1570098.

It is an arithmetic number, because the mean of its divisors is an integer number (88766685).

Almost surely, 2^2004200420 is an apocalyptic number.

2004200420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004200420 is an abundant number, since it is smaller than the sum of its proper divisors (2256600460).

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

2004200420 is a wasteful number, since it uses less digits than its factorization.

2004200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2004200420 is about 44768.2970415449. The cubic root of 2004200420 is about 1260.8024660589.

Adding to 2004200420 its reverse (240024002), we get a palindrome (2244224422).

The spelling of 2004200420 in words is "two billion, four million, two hundred thousand, four hundred twenty".