2008420 has 24 divisors (see below), whose sum is σ = 4254264. Its totient is φ = 796416.

The previous prime is 2008403. The next prime is 2008421. The reversal of 2008420 is 248002.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 1205604 = 896^2 + 1098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2008394 and 2008403.

It is not an unprimeable number, because it can be changed into a prime (2008421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2374 + ... + 3106.

It is an arithmetic number, because the mean of its divisors is an integer number (177261).

2^2008420 is an apocalyptic number.

2008420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008420 is an abundant number, since it is smaller than the sum of its proper divisors (2245844).

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

2008420 is a wasteful number, since it uses less digits than its factorization.

2008420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2008420 is about 1417.1873552922. The cubic root of 2008420 is about 126.1686663670.

The spelling of 2008420 in words is "two million, eight thousand, four hundred twenty".