2008987200 has 378 divisors, whose sum is σ = 7855362242. Its totient is φ = 486604800.

The previous prime is 2008987199. The next prime is 2008987213. The reversal of 2008987200 is 27898002.

It can be written as a sum of positive squares in 3 ways, for example, as 312865344 + 1696121856 = 17688^2 + 41184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1741824 + ... + 1742976.

Almost surely, 2^2008987200 is an apocalyptic number.

2008987200 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 2008987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927681121).

2008987200 is an abundant number, since it is smaller than the sum of its proper divisors (5846375042).

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

2008987200 is a wasteful number, since it uses less digits than its factorization.

2008987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2008987200 is about 44821.7268743631. The cubic root of 2008987200 is about 1261.8054239093.

The spelling of 2008987200 in words is "two billion, eight million, nine hundred eighty-seven thousand, two hundred".