2008754880 has 168 divisors, whose sum is σ = 7010710896. Its totient is φ = 486942720.

The previous prime is 2008754873. The next prime is 2008754899. The reversal of 2008754880 is 884578002.

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 23 ways as a sum of consecutive naturals, for example, 107514 + ... + 124806.

It is an arithmetic number, because the mean of its divisors is an integer number (41730422).

Almost surely, 2^2008754880 is an apocalyptic number.

2008754880 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 2008754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505355448).

2008754880 is an abundant number, since it is smaller than the sum of its proper divisors (5001956016).

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

2008754880 is a wasteful number, since it uses less digits than its factorization.

2008754880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17335 (or 17314 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 2008754880 is about 44819.1351991535. The cubic root of 2008754880 is about 1261.7567834905.

The spelling of 2008754880 in words is "two billion, eight million, seven hundred fifty-four thousand, eight hundred eighty".