281120080 has 80 divisors (see below), whose sum is σ = 680987664. Its totient is φ = 107827200.

The previous prime is 281120071. The next prime is 281120083. The reversal of 281120080 is 80021182.

It can be written as a sum of positive squares in 8 ways, for example, as 9265936 + 271854144 = 3044^2 + 16488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281120083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215430 + ... + 216730.

Almost surely, 2^281120080 is an apocalyptic number.

281120080 is a gapful number since it is divisible by the number (20) 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 281120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340493832).

281120080 is an abundant number, since it is smaller than the sum of its proper divisors (399867584).

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

281120080 is a wasteful number, since it uses less digits than its factorization.

281120080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 281120080 is about 16766.6359177982. The cubic root of 281120080 is about 655.0844480594.

The spelling of 281120080 in words is "two hundred eighty-one million, one hundred twenty thousand, eighty".