2001024144 has 120 divisors (see below), whose sum is σ = 6495844160. Its totient is φ = 563169024.

The previous prime is 2001024133. The next prime is 2001024161. The reversal of 2001024144 is 4414201002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52722 + ... + 82350.

Almost surely, 2^2001024144 is an apocalyptic number.

2001024144 is a gapful number since it is divisible by the number (24) 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 2001024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247922080).

2001024144 is an abundant number, since it is smaller than the sum of its proper divisors (4494820016).

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

2001024144 is a wasteful number, since it uses less digits than its factorization.

2001024144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29717 (or 29708 counting only the distinct ones).

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

The square root of 2001024144 is about 44732.8083625430. The cubic root of 2001024144 is about 1260.1360699611.

Adding to 2001024144 its reverse (4414201002), we get a palindrome (6415225146).

The spelling of 2001024144 in words is "two billion, one million, twenty-four thousand, one hundred forty-four".