2032532000 has 96 divisors (see below), whose sum is σ = 5031739440. Its totient is φ = 806860800.

The previous prime is 2032531997. The next prime is 2032532009. The reversal of 2032532000 is 2352302.

It can be written as a sum of positive squares in 8 ways, for example, as 20830096 + 2011701904 = 4564^2 + 44852^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2032532000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032532009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546146 + ... + 549854.

Almost surely, 2^2032532000 is an apocalyptic number.

2032532000 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 2032532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515869720).

2032532000 is an abundant number, since it is smaller than the sum of its proper divisors (2999207440).

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

2032532000 is a wasteful number, since it uses less digits than its factorization.

2032532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 2032532000 is about 45083.6112129452. The cubic root of 2032532000 is about 1266.7156336872.

Adding to 2032532000 its reverse (2352302), we get a palindrome (2034884302).

It can be divided in two parts, 20325 and 32000, that added together give a palindrome (52325).

The spelling of 2032532000 in words is "two billion, thirty-two million, five hundred thirty-two thousand".