2008428560 has 80 divisors (see below), whose sum is σ = 4752433920. Its totient is φ = 789212160.

The previous prime is 2008428559. The next prime is 2008428577. The reversal of 2008428560 is 658248002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2008428560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1932521 + ... + 1933559.

It is an arithmetic number, because the mean of its divisors is an integer number (59405424).

Almost surely, 2^2008428560 is an apocalyptic number.

2008428560 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 2008428560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376216960).

2008428560 is an abundant number, since it is smaller than the sum of its proper divisors (2744005360).

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

2008428560 is a wasteful number, since it uses less digits than its factorization.

2008428560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 2008428560 is about 44815.4946419204. The cubic root of 2008428560 is about 1261.6884561276.

The spelling of 2008428560 in words is "two billion, eight million, four hundred twenty-eight thousand, five hundred sixty".