287822580240 has 320 divisors, whose sum is σ = 1002850813440. Its totient is φ = 67797811200.

The previous prime is 287822580233. The next prime is 287822580251. The reversal of 287822580240 is 42085228782.

It is a super-2 number, since 2×287822580240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 287822580240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10210165 + ... + 10238315.

It is an arithmetic number, because the mean of its divisors is an integer number (3133908792).

Almost surely, 2^287822580240 is an apocalyptic number.

287822580240 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 287822580240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501425406720).

287822580240 is an abundant number, since it is smaller than the sum of its proper divisors (715028233200).

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

287822580240 is a wasteful number, since it uses less digits than its factorization.

287822580240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28322 (or 28316 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The spelling of 287822580240 in words is "two hundred eighty-seven billion, eight hundred twenty-two million, five hundred eighty thousand, two hundred forty".