2001408 has 40 divisors (see below), whose sum is σ = 5335968. Its totient is φ = 666624.

The previous prime is 2001407. The next prime is 2001409. The reversal of 2001408 is 8041002.

It is an interprime number because it is at equal distance from previous prime (2001407) and next prime (2001409).

It is not an unprimeable number, because it can be changed into a prime (2001407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 885 + ... + 2187.

2^2001408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667984).

2001408 is an abundant number, since it is smaller than the sum of its proper divisors (3334560).

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

2001408 is an equidigital number, since it uses as much as digits as its factorization.

2001408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2001408 is about 1414.7112779645. The cubic root of 2001408 is about 126.0216642013.

The spelling of 2001408 in words is "two million, one thousand, four hundred eight".