2008341648 has 320 divisors, whose sum is σ = 6615648000. Its totient is φ = 579280896.

The previous prime is 2008341637. The next prime is 2008341649. The reversal of 2008341648 is 8461438002.

2008341648 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 3 + 4 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2008341649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5162638 + ... + 5163026.

It is an arithmetic number, because the mean of its divisors is an integer number (20673900).

Almost surely, 2^2008341648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008341648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307824000).

2008341648 is an abundant number, since it is smaller than the sum of its proper divisors (4607306352).

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

2008341648 is a wasteful number, since it uses less digits than its factorization.

2008341648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2008341648 is about 44814.5249668007. The cubic root of 2008341648 is about 1261.6702565841.

The spelling of 2008341648 in words is "two billion, eight million, three hundred forty-one thousand, six hundred forty-eight".