2881128096 has 576 divisors, whose sum is σ = 10982522880. Its totient is φ = 718502400.

The previous prime is 2881128083. The next prime is 2881128109. The reversal of 2881128096 is 6908211882.

It is a happy number.

2881128096 is a `hidden beast` number, since 288 + 1 + 1 + 280 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (2881128083) and next prime (2881128109).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22685985 + ... + 22686111.

It is an arithmetic number, because the mean of its divisors is an integer number (19066880).

Almost surely, 2^2881128096 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 2881128096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491261440).

2881128096 is an abundant number, since it is smaller than the sum of its proper divisors (8101394784).

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

2881128096 is a wasteful number, since it uses less digits than its factorization.

2881128096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 2881128096 is about 53676.1408448856. The cubic root of 2881128096 is about 1422.9430622276.

The spelling of 2881128096 in words is "two billion, eight hundred eighty-one million, one hundred twenty-eight thousand, ninety-six".