2041584688 has 120 divisors (see below), whose sum is σ = 4817410416. Its totient is φ = 826291200.

The previous prime is 2041584647. The next prime is 2041584703. The reversal of 2041584688 is 8864851402.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1923678 + ... + 1924738.

Almost surely, 2^2041584688 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 2041584688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408705208).

2041584688 is an abundant number, since it is smaller than the sum of its proper divisors (2775825728).

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

2041584688 is a wasteful number, since it uses less digits than its factorization.

2041584688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The square root of 2041584688 is about 45183.8985480447. The cubic root of 2041584688 is about 1268.5934555155.

The spelling of 2041584688 in words is "two billion, forty-one million, five hundred eighty-four thousand, six hundred eighty-eight".