2001001440 has 192 divisors, whose sum is σ = 6512292864. Its totient is φ = 516077568.

The previous prime is 2001001417. The next prime is 2001001451. The reversal of 2001001440 is 441001002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5452137 + ... + 5452503.

It is an arithmetic number, because the mean of its divisors is an integer number (33918192).

Almost surely, 2^2001001440 is an apocalyptic number.

2001001440 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 2001001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256146432).

2001001440 is an abundant number, since it is smaller than the sum of its proper divisors (4511291424).

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

2001001440 is a wasteful number, since it uses less digits than its factorization.

2001001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2001001440 is about 44732.5545883532. The cubic root of 2001001440 is about 1260.1313040287.

Adding to 2001001440 its reverse (441001002), we get a palindrome (2442002442).

The spelling of 2001001440 in words is "two billion, one million, one thousand, four hundred forty".