2008135620 has 36 divisors (see below), whose sum is σ = 6091345260. Its totient is φ = 535502784.

The previous prime is 2008135607. The next prime is 2008135651. The reversal of 2008135620 is 265318002.

2008135620 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 1 + 35 + 620 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 357663744 + 1650471876 = 18912^2 + 40626^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5577975 + ... + 5578334.

It is an arithmetic number, because the mean of its divisors is an integer number (169204035).

Almost surely, 2^2008135620 is an apocalyptic number.

2008135620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008135620 is an abundant number, since it is smaller than the sum of its proper divisors (4083209640).

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

2008135620 is a wasteful number, since it uses less digits than its factorization.

2008135620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11156324 (or 11156319 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2008135620 is about 44812.2262334734. The cubic root of 2008135620 is about 1261.6271118185.

The spelling of 2008135620 in words is "two billion, eight million, one hundred thirty-five thousand, six hundred twenty".