2008420020020 has 12 divisors (see below), whose sum is σ = 4217682042084. Its totient is φ = 803368008000.

The previous prime is 2008420020001. The next prime is 2008420020067. The reversal of 2008420020020 is 200200248002.

It can be written as a sum of positive squares in 2 ways, for example, as 367961133604 + 1640458886416 = 606598^2 + 1280804^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 100421001001 = 2008420020020 / (2 + 0 + 0 + 8 + 4 + 2 + 0 + 0 + 2 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2008420019974 and 2008420020001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50210500481 + ... + 50210500520.

It is an arithmetic number, because the mean of its divisors is an integer number (351473503507).

Almost surely, 2^{2008420020020} is an apocalyptic number.

2008420020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008420020020 is an abundant number, since it is smaller than the sum of its proper divisors (2209262022064).

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

2008420020020 is a wasteful number, since it uses less digits than its factorization.

2008420020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100421001010 (or 100421001008 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2008420020020 its reverse (200200248002), we get a palindrome (2208620268022).

The spelling of 2008420020020 in words is "two trillion, eight billion, four hundred twenty million, twenty thousand, twenty".