2032071680 has 88 divisors (see below), whose sum is σ = 4911866568. Its totient is φ = 806617088.

The previous prime is 2032071661. The next prime is 2032071697. The reversal of 2032071680 is 861702302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42198016 + 1989873664 = 6496^2 + 44608^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 699992 + ... + 702888.

Almost surely, 2^2032071680 is an apocalyptic number.

2032071680 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 2032071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455933284).

2032071680 is an abundant number, since it is smaller than the sum of its proper divisors (2879794888).

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

2032071680 is a wasteful number, since it uses less digits than its factorization.

2032071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 2032071680 is about 45078.5057427595. The cubic root of 2032071680 is about 1266.6199995118.

Adding to 2032071680 its reverse (861702302), we get a palindrome (2893773982).

The spelling of 2032071680 in words is "two billion, thirty-two million, seventy-one thousand, six hundred eighty".