282740247972 has 384 divisors, whose sum is σ = 925431091200. Its totient is φ = 72656704512.

The previous prime is 282740247971. The next prime is 282740247983. The reversal of 282740247972 is 279742047282.

It is a super-2 number, since 2×282740247972² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (282740247971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 341886223 + ... + 341887049.

It is an arithmetic number, because the mean of its divisors is an integer number (2409976800).

Almost surely, 2^282740247972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282740247972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462715545600).

282740247972 is an abundant number, since it is smaller than the sum of its proper divisors (642690843228).

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

282740247972 is a wasteful number, since it uses less digits than its factorization.

282740247972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 282740247972 in words is "two hundred eighty-two billion, seven hundred forty million, two hundred forty-seven thousand, nine hundred seventy-two".