2008241680 has 80 divisors (see below), whose sum is σ = 4751553024. Its totient is φ = 789212160.

The previous prime is 2008241639. The next prime is 2008241693. The reversal of 2008241680 is 861428002.

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

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, 2025985 + ... + 2026975.

Almost surely, 2^2008241680 is an apocalyptic number.

2008241680 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 2008241680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375776512).

2008241680 is an abundant number, since it is smaller than the sum of its proper divisors (2743311344).

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

2008241680 is a wasteful number, since it uses less digits than its factorization.

2008241680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 2008241680 is about 44813.4096002525. The cubic root of 2008241680 is about 1261.6493224392.

Adding to 2008241680 its reverse (861428002), we get a palindrome (2869669682).

The spelling of 2008241680 in words is "two billion, eight million, two hundred forty-one thousand, six hundred eighty".