282220044991920 has 400 divisors, whose sum is σ = 1120254291636480. Its totient is φ = 64505433051648.

The previous prime is 282220044991811. The next prime is 282220044991931. The reversal of 282220044991920 is 29199440022282.

282220044991920 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 2 + 0 + 0 + 449 + 9 + 192 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1847844679 + ... + 1847997401.

Almost surely, 2^{282220044991920} is an apocalyptic number.

282220044991920 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 282220044991920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560127145818240).

282220044991920 is an abundant number, since it is smaller than the sum of its proper divisors (838034246644560).

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

282220044991920 is a wasteful number, since it uses less digits than its factorization.

282220044991920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193494 (or 193479 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 282220044991920 in words is "two hundred eighty-two trillion, two hundred twenty billion, forty-four million, nine hundred ninety-one thousand, nine hundred twenty".