281057040 has 200 divisors, whose sum is σ = 1065163968. Its totient is φ = 68117760.

The previous prime is 281057017. The next prime is 281057057. The reversal of 281057040 is 40750182.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 281056995 and 281057013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69309 + ... + 73251.

Almost surely, 2^281057040 is an apocalyptic number.

281057040 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 281057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532581984).

281057040 is an abundant number, since it is smaller than the sum of its proper divisors (784106928).

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

281057040 is a wasteful number, since it uses less digits than its factorization.

281057040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 281057040 is about 16764.7558884703. The cubic root of 281057040 is about 655.0354777512.

The spelling of 281057040 in words is "two hundred eighty-one million, fifty-seven thousand, forty".