2031916032 has 132 divisors (see below), whose sum is σ = 5993222976. Its totient is φ = 662753280.

The previous prime is 2031916027. The next prime is 2031916057. The reversal of 2031916032 is 2306191302.

2031916032 is a `hidden beast` number, since 20 + 31 + 9 + 1 + 603 + 2 = 666.

It is a super-2 number, since 2×2031916032² = 8257365522197250048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2031915987 and 2031916005.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 430807 + ... + 435497.

Almost surely, 2^2031916032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031916032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996611488).

2031916032 is an abundant number, since it is smaller than the sum of its proper divisors (3961306944).

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

2031916032 is a wasteful number, since it uses less digits than its factorization.

2031916032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2031916032 is about 45076.7792993244. The cubic root of 2031916032 is about 1266.5876594611.

The spelling of 2031916032 in words is "two billion, thirty-one million, nine hundred sixteen thousand, thirty-two".