2791641328 has 160 divisors (see below), whose sum is σ = 6571008000. Its totient is φ = 1147700736.

The previous prime is 2791641311. The next prime is 2791641343. The reversal of 2791641328 is 8231461972.

It is a super-2 number, since 2×2791641328² = 15586522608395207168, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 20376876 + ... + 20377012.

It is an arithmetic number, because the mean of its divisors is an integer number (41068800).

Almost surely, 2^2791641328 is an apocalyptic number.

2791641328 is a gapful number since it is divisible by the number (28) 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 2791641328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285504000).

2791641328 is an abundant number, since it is smaller than the sum of its proper divisors (3779366672).

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

2791641328 is a wasteful number, since it uses less digits than its factorization.

2791641328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 272 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 2791641328 is about 52835.9851616301. The cubic root of 2791641328 is about 1408.0558232645.

The spelling of 2791641328 in words is "two billion, seven hundred ninety-one million, six hundred forty-one thousand, three hundred twenty-eight".