2008800 has 180 divisors, whose sum is σ = 7562016. Its totient is φ = 518400.

The previous prime is 2008793. The next prime is 2008807. The reversal of 2008800 is 88002.

It is an interprime number because it is at equal distance from previous prime (2008793) and next prime (2008807).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64785 + ... + 64815.

2^2008800 is an apocalyptic number.

2008800 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 2008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781008).

2008800 is an abundant number, since it is smaller than the sum of its proper divisors (5553216).

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

2008800 is a wasteful number, since it uses less digits than its factorization.

2008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2008800 is about 1417.3214173221. The cubic root of 2008800 is about 126.1766230477.

The spelling of 2008800 in words is "two million, eight thousand, eight hundred".