284064120240 has 160 divisors (see below), whose sum is σ = 899867404800. Its totient is φ = 74110660608.

The previous prime is 284064120217. The next prime is 284064120293. The reversal of 284064120240 is 42021460482.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1982536 + ... + 2120984.

It is an arithmetic number, because the mean of its divisors is an integer number (5624171280).

Almost surely, 2^284064120240 is an apocalyptic number.

284064120240 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 284064120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449933702400).

284064120240 is an abundant number, since it is smaller than the sum of its proper divisors (615803284560).

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

284064120240 is a wasteful number, since it uses less digits than its factorization.

284064120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138651 (or 138645 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 284064120240 in words is "two hundred eighty-four billion, sixty-four million, one hundred twenty thousand, two hundred forty".