2032541984 has 48 divisors (see below), whose sum is σ = 4387654656. Its totient is φ = 919161600.

The previous prime is 2032541911. The next prime is 2032542011. The reversal of 2032541984 is 4891452302.

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 7 ways as a sum of consecutive naturals, for example, 54689 + ... + 83999.

It is an arithmetic number, because the mean of its divisors is an integer number (91409472).

Almost surely, 2^2032541984 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 2032541984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193827328).

2032541984 is an abundant number, since it is smaller than the sum of its proper divisors (2355112672).

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

2032541984 is a wasteful number, since it uses less digits than its factorization.

2032541984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29529 (or 29521 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 2032541984 is about 45083.7219404077. The cubic root of 2032541984 is about 1266.7177077616.

The spelling of 2032541984 in words is "two billion, thirty-two million, five hundred forty-one thousand, nine hundred eighty-four".