2032322000 has 80 divisors (see below), whose sum is σ = 4963302864. Its totient is φ = 804800000.

The previous prime is 2032321997. The next prime is 2032322009. The reversal of 2032322000 is 2232302.

It can be written as a sum of positive squares in 8 ways, for example, as 151191616 + 1881130384 = 12296^2 + 43372^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032322009) 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, 196970 + ... + 207030.

Almost surely, 2^2032322000 is an apocalyptic number.

2032322000 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 2032322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481651432).

2032322000 is an abundant number, since it is smaller than the sum of its proper divisors (2930980864).

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

2032322000 is a wasteful number, since it uses less digits than its factorization.

2032322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10185 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2032322000 is about 45081.2821468068. The cubic root of 2032322000 is about 1266.6720067488.

Adding to 2032322000 its reverse (2232302), we get a palindrome (2034554302).

The spelling of 2032322000 in words is "two billion, thirty-two million, three hundred twenty-two thousand".