282097961280 has 672 divisors, whose sum is σ = 1085263320960. Its totient is φ = 69513707520.

The previous prime is 282097961267. The next prime is 282097961281. The reversal of 282097961280 is 82169790282.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282097961281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60572712 + ... + 60577368.

It is an arithmetic number, because the mean of its divisors is an integer number (1614975180).

Almost surely, 2^282097961280 is an apocalyptic number.

282097961280 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 282097961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542631660480).

282097961280 is an abundant number, since it is smaller than the sum of its proper divisors (803165359680).

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

282097961280 is a wasteful number, since it uses less digits than its factorization.

282097961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 282097961280 in words is "two hundred eighty-two billion, ninety-seven million, nine hundred sixty-one thousand, two hundred eighty".