2032128000 has 780 divisors, whose sum is σ = 8812959012. Its totient is φ = 464486400.

The previous prime is 2032127971. The next prime is 2032128017. The reversal of 2032128000 is 8212302.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 1967099904 = 8064^2 + 44352^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 290303997 + ... + 290304003.

Almost surely, 2^2032128000 is an apocalyptic number.

2032128000 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 2032128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406479506).

2032128000 is an abundant number, since it is smaller than the sum of its proper divisors (6780831012).

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

2032128000 is an frugal number, since it uses more digits than its factorization.

2032128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2032128000 is about 45079.1304263958. The cubic root of 2032128000 is about 1266.6317010970.

The spelling of 2032128000 in words is "two billion, thirty-two million, one hundred twenty-eight thousand".