2881128100 has 18 divisors (see below), whose sum is σ = 6252048194. Its totient is φ = 1152451200.

The previous prime is 2881128083. The next prime is 2881128109. The reversal of 2881128100 is 18211882.

It is a happy number.

2881128100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 257025024 + 2624103076 = 16032^2 + 51226^2 .

It is a super-2 number, since 2×2881128100² = 16601798257219220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2881128109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14405541 + ... + 14405740.

Almost surely, 2^2881128100 is an apocalyptic number.

2881128100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2881128100 is an abundant number, since it is smaller than the sum of its proper divisors (3370920094).

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

2881128100 is a wasteful number, since it uses less digits than its factorization.

2881128100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28811295 (or 28811288 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 31.

The square root of 2881128100 is about 53676.1408821461. The cubic root of 2881128100 is about 1422.9430628861.

Adding to 2881128100 its reverse (18211882), we get a palindrome (2899339982).

The spelling of 2881128100 in words is "two billion, eight hundred eighty-one million, one hundred twenty-eight thousand, one hundred".