2031132000 has 192 divisors, whose sum is σ = 6696091584. Its totient is φ = 538214400.

The previous prime is 2031131987. The next prime is 2031132007. The reversal of 2031132000 is 2311302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031132007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2315562 + ... + 2316438.

It is an arithmetic number, because the mean of its divisors is an integer number (34875477).

Almost surely, 2^2031132000 is an apocalyptic number.

2031132000 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 2031132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348045792).

2031132000 is an abundant number, since it is smaller than the sum of its proper divisors (4664959584).

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

2031132000 is a wasteful number, since it uses less digits than its factorization.

2031132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2031132000 is about 45068.0818318242. The cubic root of 2031132000 is about 1266.4247306471.

Adding to 2031132000 its reverse (2311302), we get a palindrome (2033443302).

The spelling of 2031132000 in words is "two billion, thirty-one million, one hundred thirty-two thousand".