2001024 has 80 divisors (see below), whose sum is σ = 5985870. Its totient is φ = 663552.

The previous prime is 2000989. The next prime is 2001037. The reversal of 2001024 is 4201002.

It can be written as a sum of positive squares in only one way, i.e., 1871424 + 129600 = 1368^2 + 360^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2000997 and 2001015.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 10272 + ... + 10464.

2^2001024 is an apocalyptic number.

2001024 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 2001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992935).

2001024 is an abundant number, since it is smaller than the sum of its proper divisors (3984846).

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

2001024 is an equidigital number, since it uses as much as digits as its factorization.

2001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2001024 is about 1414.5755547160. The cubic root of 2001024 is about 126.0136039733.

Adding to 2001024 its reverse (4201002), we get a palindrome (6202026).

The spelling of 2001024 in words is "two million, one thousand, twenty-four".