282741258240 has 1728 divisors, whose sum is σ = 1258424294400. Its totient is φ = 58265174016.

The previous prime is 282741258187. The next prime is 282741258287. The reversal of 282741258240 is 42852147282.

282741258240 is a `hidden beast` number, since 2 + 8 + 27 + 4 + 1 + 2 + 582 + 40 = 666.

It is a super-2 number, since 2×282741258240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2226309057 + ... + 2226309183.

It is an arithmetic number, because the mean of its divisors is an integer number (728254800).

Almost surely, 2^282741258240 is an apocalyptic number.

282741258240 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 282741258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629212147200).

282741258240 is an abundant number, since it is smaller than the sum of its proper divisors (975683036160).

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

282741258240 is a wasteful number, since it uses less digits than its factorization.

282741258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 282741258240 in words is "two hundred eighty-two billion, seven hundred forty-one million, two hundred fifty-eight thousand, two hundred forty".