281940120 has 288 divisors, whose sum is σ = 1163607120. Its totient is φ = 58544640.

The previous prime is 281940101. The next prime is 281940137. The reversal of 281940120 is 21049182.

It is a super-2 number, since 2×281940120² = 158980462531228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 193314 + ... + 194766.

Almost surely, 2^281940120 is an apocalyptic number.

281940120 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 281940120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581803560).

281940120 is an abundant number, since it is smaller than the sum of its proper divisors (881667000).

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

281940120 is a wasteful number, since it uses less digits than its factorization.

281940120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 281940120 is about 16791.0726280366. The cubic root of 281940120 is about 655.7208000346.

The spelling of 281940120 in words is "two hundred eighty-one million, nine hundred forty thousand, one hundred twenty".