282910942020 has 576 divisors, whose sum is σ = 1029568167936. Its totient is φ = 56686417920.

The previous prime is 282910942003. The next prime is 282910942021. The reversal of 282910942020 is 20249019282.

It is a super-2 number, since 2×282910942020² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 282910942020.

It is not an unprimeable number, because it can be changed into a prime (282910942021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108103752 + ... + 108106368.

It is an arithmetic number, because the mean of its divisors is an integer number (1787444736).

Almost surely, 2^282910942020 is an apocalyptic number.

282910942020 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 282910942020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514784083968).

282910942020 is an abundant number, since it is smaller than the sum of its proper divisors (746657225916).

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

282910942020 is a wasteful number, since it uses less digits than its factorization.

282910942020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 282910942020 in words is "two hundred eighty-two billion, nine hundred ten million, nine hundred forty-two thousand, twenty".