282533940449280 has 4992 divisors, whose sum is σ = 1230471028362240. Its totient is φ = 61752251252736.

The previous prime is 282533940449269. The next prime is 282533940449287. The reversal of 282533940449280 is 82944049335282.

282533940449280 is a `hidden beast` number, since 2 + 8 + 2 + 53 + 3 + 94 + 0 + 4 + 492 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282533940449287) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3870327951324 + ... + 3870327951396.

Almost surely, 2^{282533940449280} is an apocalyptic number.

282533940449280 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 282533940449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615235514181120).

282533940449280 is an abundant number, since it is smaller than the sum of its proper divisors (947937087912960).

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

282533940449280 is an equidigital number, since it uses as much as digits as its factorization.

282533940449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 282533940449280 in words is "two hundred eighty-two trillion, five hundred thirty-three billion, nine hundred forty million, four hundred forty-nine thousand, two hundred eighty".