2001440 has 48 divisors (see below), whose sum is σ = 5406912. Its totient is φ = 685824.

The previous prime is 2001421. The next prime is 2001449. The reversal of 2001440 is 441002.

2001440 = T₅ + T₆ + ... + T₂₂₈.

It is a super-3 number, since 3×2001440³ = 24051877333757952000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001449) 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, 227 + ... + 2013.

It is an arithmetic number, because the mean of its divisors is an integer number (112644).

2^2001440 is an apocalyptic number.

2001440 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 2001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703456).

2001440 is an abundant number, since it is smaller than the sum of its proper divisors (3405472).

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

2001440 is a wasteful number, since it uses less digits than its factorization.

2001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2001440 is about 1414.7225876475. The cubic root of 2001440 is about 126.0223358404.

Adding to 2001440 its reverse (441002), we get a palindrome (2442442).

The spelling of 2001440 in words is "two million, one thousand, four hundred forty".