2008000 has 56 divisors (see below), whose sum is σ = 4992624. Its totient is φ = 800000.

The previous prime is 2007979. The next prime is 2008003. The reversal of 2008000 is 8002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 (2008003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7875 + ... + 8125.

It is an arithmetic number, because the mean of its divisors is an integer number (89154).

2^2008000 is an apocalyptic number.

2008000 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 2008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496312).

2008000 is an abundant number, since it is smaller than the sum of its proper divisors (2984624).

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

2008000 is an equidigital number, since it uses as much as digits as its factorization.

2008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2008000 is about 1417.0391667135. The cubic root of 2008000 is about 126.1598709733.

The spelling of 2008000 in words is "two million, eight thousand".