2001024024 has 128 divisors (see below), whose sum is σ = 5269924800. Its totient is φ = 632586240.

The previous prime is 2001023971. The next prime is 2001024043. The reversal of 2001024024 is 4204201002.

It is a junction number, because it is equal to n+sod(n) for n = 2001023994 and 2001024012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6392892 + ... + 6393204.

Almost surely, 2^2001024024 is an apocalyptic number.

2001024024 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 2001024024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634962400).

2001024024 is an abundant number, since it is smaller than the sum of its proper divisors (3268900776).

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

2001024024 is a wasteful number, since it uses less digits than its factorization.

2001024024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2001024024 is about 44732.8070212456. The cubic root of 2001024024 is about 1260.1360447713.

Adding to 2001024024 its reverse (4204201002), we get a palindrome (6205225026).

The spelling of 2001024024 in words is "two billion, one million, twenty-four thousand, twenty-four".