284040206982 has 480 divisors, whose sum is σ = 815721984000. Its totient is φ = 73365626880.

The previous prime is 284040206929. The next prime is 284040206993. The reversal of 284040206982 is 289602040482.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 369362694 + ... + 369363462.

It is an arithmetic number, because the mean of its divisors is an integer number (1699420800).

Almost surely, 2^284040206982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284040206982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407860992000).

284040206982 is an abundant number, since it is smaller than the sum of its proper divisors (531681777018).

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

284040206982 is a wasteful number, since it uses less digits than its factorization.

284040206982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 284040206982 in words is "two hundred eighty-four billion, forty million, two hundred six thousand, nine hundred eighty-two".