2284565283840 has 352 divisors, whose sum is σ = 8385937367040. Its totient is φ = 519995621376.

The previous prime is 2284565283829. The next prime is 2284565283877. The reversal of 2284565283840 is 483825654822.

It is a happy number.

It is a super-2 number, since 2×2284565283840² (a number of 26 digits) contains 22 as substring.

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, 25652829 + ... + 25741731.

Almost surely, 2^{2284565283840} is an apocalyptic number.

2284565283840 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 2284565283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192968683520).

2284565283840 is an abundant number, since it is smaller than the sum of its proper divisors (6101372083200).

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

2284565283840 is a wasteful number, since it uses less digits than its factorization.

2284565283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89177 (or 89159 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 57.

The spelling of 2284565283840 in words is "two trillion, two hundred eighty-four billion, five hundred sixty-five million, two hundred eighty-three thousand, eight hundred forty".