282801100000 has 144 divisors (see below), whose sum is σ = 726174209376. Its totient is φ = 108201280000.

The previous prime is 282801099989. The next prime is 282801100009. The reversal of 282801100000 is 1108282.

It is a super-2 number, since 2×282801100000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282801100009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2238522 + ... + 2361478.

It is an arithmetic number, because the mean of its divisors is an integer number (5042876454).

Almost surely, 2^282801100000 is an apocalyptic number.

282801100000 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 282801100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363087104688).

282801100000 is an abundant number, since it is smaller than the sum of its proper divisors (443373109376).

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

282801100000 is an equidigital number, since it uses as much as digits as its factorization.

282801100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123015 (or 122987 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 282801100000 its reverse (1108282), we get a palindrome (282802208282).

The spelling of 282801100000 in words is "two hundred eighty-two billion, eight hundred one million, one hundred thousand".