2008440 has 96 divisors (see below), whose sum is σ = 7469280. Its totient is φ = 458496.

The previous prime is 2008439. The next prime is 2008441. The reversal of 2008440 is 448002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2008439) and next prime (2008441).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2122 + ... + 2918.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

2^2008440 is an apocalyptic number.

2008440 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 2008440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640).

2008440 is an abundant number, since it is smaller than the sum of its proper divisors (5460840).

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

2008440 is a wasteful number, since it uses less digits than its factorization.

2008440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2008440 is about 1417.1944115046. The cubic root of 2008440 is about 126.1690851647.

The spelling of 2008440 in words is "two million, eight thousand, four hundred forty".