2031520000 has 90 divisors (see below), whose sum is σ = 5067657518. Its totient is φ = 812544000.

The previous prime is 2031519983. The next prime is 2031520021. The reversal of 2031520000 is 251302.

It can be written as a sum of positive squares in 5 ways, for example, as 1116094464 + 915425536 = 33408^2 + 30256^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153652 + ... + 166348.

Almost surely, 2^2031520000 is an apocalyptic number.

2031520000 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 2031520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533828759).

2031520000 is an abundant number, since it is smaller than the sum of its proper divisors (3036137518).

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

2031520000 is an frugal number, since it uses more digits than its factorization.

2031520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12733 (or 12704 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2031520000 is about 45072.3862248273. The cubic root of 2031520000 is about 1266.5053657331.

Adding to 2031520000 its reverse (251302), we get a palindrome (2031771302).

The spelling of 2031520000 in words is "two billion, thirty-one million, five hundred twenty thousand".