282474419230080 has 6912 divisors, whose sum is σ = 1400556878784000. Its totient is φ = 53456578560000.

The previous prime is 282474419230043. The next prime is 282474419230117. The reversal of 282474419230080 is 80032914474282.

282474419230080 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 7 + 441 + 92 + 30 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (282474419230043) and next prime (282474419230117).

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

It is a junction number, because it is equal to n+sod(n) for n = 282474419229999 and 282474419230026.

It is a congruent number.

It is an unprimeable number.

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 863 ways as a sum of consecutive naturals, for example, 1870691518005 + ... + 1870691518155.

It is an arithmetic number, because the mean of its divisors is an integer number (202626863250).

Almost surely, 2^{282474419230080} is an apocalyptic number.

282474419230080 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 282474419230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700278439392000).

282474419230080 is an abundant number, since it is smaller than the sum of its proper divisors (1118082459553920).

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

282474419230080 is a wasteful number, since it uses less digits than its factorization.

282474419230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 282474419230080 in words is "two hundred eighty-two trillion, four hundred seventy-four billion, four hundred nineteen million, two hundred thirty thousand, eighty".