2282589784440 has 384 divisors, whose sum is σ = 9015474648960. Its totient is φ = 488934899712.

The previous prime is 2282589784439. The next prime is 2282589784463. The reversal of 2282589784440 is 444879852822.

2282589784440 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 589 + 7 + 8 + 4 + 4 + 40 = 666.

It is a super-2 number, since 2×2282589784440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9867382 + ... + 10096058.

It is an arithmetic number, because the mean of its divisors is an integer number (23477798565).

Almost surely, 2^{2282589784440} is an apocalyptic number.

2282589784440 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 2282589784440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507737324480).

2282589784440 is an abundant number, since it is smaller than the sum of its proper divisors (6732884864520).

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

2282589784440 is a wasteful number, since it uses less digits than its factorization.

2282589784440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228951 (or 228944 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 2282589784440 in words is "two trillion, two hundred eighty-two billion, five hundred eighty-nine million, seven hundred eighty-four thousand, four hundred forty".