2008894560 has 48 divisors (see below), whose sum is σ = 6328019376. Its totient is φ = 535705088.

The previous prime is 2008894549. The next prime is 2008894577. The reversal of 2008894560 is 654988002.

2008894560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2092119 + ... + 2093078.

It is an arithmetic number, because the mean of its divisors is an integer number (131833737).

Almost surely, 2^2008894560 is an apocalyptic number.

2008894560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008894560 is an abundant number, since it is smaller than the sum of its proper divisors (4319124816).

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

2008894560 is a wasteful number, since it uses less digits than its factorization.

2008894560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185215 (or 4185207 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2008894560 is about 44820.6934350641. The cubic root of 2008894560 is about 1261.7860284894.

The spelling of 2008894560 in words is "two billion, eight million, eight hundred ninety-four thousand, five hundred sixty".