281093120 has 352 divisors, whose sum is σ = 905527296. Its totient is φ = 81100800.

The previous prime is 281093069. The next prime is 281093203. The reversal of 281093120 is 21390182.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×281093120² = 158026684222668800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 281093120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9067505 + ... + 9067535.

Almost surely, 2^281093120 is an apocalyptic number.

281093120 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 281093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452763648).

281093120 is an abundant number, since it is smaller than the sum of its proper divisors (624434176).

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

281093120 is a wasteful number, since it uses less digits than its factorization.

281093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 281093120 is about 16765.8319209039. The cubic root of 281093120 is about 655.0635060699.

The spelling of 281093120 in words is "two hundred eighty-one million, ninety-three thousand, one hundred twenty".