2001536 has 32 divisors (see below), whose sum is σ = 4202400. Its totient is φ = 946944.

The previous prime is 2001533. The next prime is 2001539. The reversal of 2001536 is 6351002.

It is an interprime number because it is at equal distance from previous prime (2001533) and next prime (2001539).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2001536² = 8012292718592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2021 + ... + 2843.

It is an arithmetic number, because the mean of its divisors is an integer number (131325).

2^2001536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101200).

2001536 is an abundant number, since it is smaller than the sum of its proper divisors (2200864).

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

2001536 is an equidigital number, since it uses as much as digits as its factorization.

2001536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 2001536 is about 1414.7565161539. The cubic root of 2001536 is about 126.0243507149.

Adding to 2001536 its reverse (6351002), we get a palindrome (8352538).

The spelling of 2001536 in words is "two million, one thousand, five hundred thirty-six".