2008081540 has 24 divisors (see below), whose sum is σ = 4220296920. Its totient is φ = 802599168.

The previous prime is 2008081507. The next prime is 2008081549. The reversal of 2008081540 is 451808002.

It can be written as a sum of positive squares in 4 ways, for example, as 780420096 + 1227661444 = 27936^2 + 35038^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2008081499 and 2008081508.

It is not an unprimeable number, because it can be changed into a prime (2008081549) 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, 13167 + ... + 64726.

It is an arithmetic number, because the mean of its divisors is an integer number (175845705).

Almost surely, 2^2008081540 is an apocalyptic number.

2008081540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008081540 is an abundant number, since it is smaller than the sum of its proper divisors (2212215380).

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

2008081540 is a wasteful number, since it uses less digits than its factorization.

2008081540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79191 (or 79189 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 2008081540 is about 44811.6228226562. The cubic root of 2008081540 is about 1261.6157863207.

Adding to 2008081540 its reverse (451808002), we get a palindrome (2459889542).

The spelling of 2008081540 in words is "two billion, eight million, eighty-one thousand, five hundred forty".