2008960 has 64 divisors (see below), whose sum is σ = 4981680. Its totient is φ = 774144.

The previous prime is 2008949. The next prime is 2008961. The reversal of 2008960 is 698002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008961) 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, 27484 + ... + 27556.

2^2008960 is an apocalyptic number.

2008960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490840).

2008960 is an abundant number, since it is smaller than the sum of its proper divisors (2972720).

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

2008960 is an equidigital number, since it uses as much as digits as its factorization.

2008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2008960 is about 1417.3778606991. The cubic root of 2008960 is about 126.1799729288.

The spelling of 2008960 in words is "two million, eight thousand, nine hundred sixty".