286015242240 has 1920 divisors, whose sum is σ = 1321165440000. Its totient is φ = 58265174016.

The previous prime is 286015242239. The next prime is 286015242281. The reversal of 286015242240 is 42242510682.

286015242240 is a `hidden beast` number, since 2 + 8 + 601 + 5 + 2 + 4 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 286015242195 and 286015242204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9862594546 + ... + 9862594574.

It is an arithmetic number, because the mean of its divisors is an integer number (688107000).

Almost surely, 2^286015242240 is an apocalyptic number.

286015242240 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 286015242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660582720000).

286015242240 is an abundant number, since it is smaller than the sum of its proper divisors (1035150197760).

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

286015242240 is an equidigital number, since it uses as much as digits as its factorization.

286015242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 286015242240 in words is "two hundred eighty-six billion, fifteen million, two hundred forty-two thousand, two hundred forty".