2032324000 has 144 divisors (see below), whose sum is σ = 5809232520. Its totient is φ = 696729600.

The previous prime is 2032323991. The next prime is 2032324013. The reversal of 2032324000 is 4232302.

It can be written as a sum of positive squares in 4 ways, for example, as 175403536 + 1856920464 = 13244^2 + 43092^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190816 + ... + 201184.

Almost surely, 2^2032324000 is an apocalyptic number.

2032324000 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 2032324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904616260).

2032324000 is an abundant number, since it is smaller than the sum of its proper divisors (3776908520).

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

2032324000 is a wasteful number, since it uses less digits than its factorization.

2032324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10408 (or 10383 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2032324000 is about 45081.3043289566. The cubic root of 2032324000 is about 1266.6724222576.

Adding to 2032324000 its reverse (4232302), we get a palindrome (2036556302).

The spelling of 2032324000 in words is "two billion, thirty-two million, three hundred twenty-four thousand".