2282840451360 has 2160 divisors, whose sum is σ = 10068724673280. Its totient is φ = 470275061760.

The previous prime is 2282840451347. The next prime is 2282840451373. The reversal of 2282840451360 is 631540482822.

2282840451360 is a `hidden beast` number, since 2 + 2 + 8 + 284 + 0 + 4 + 5 + 1 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (2282840451347) and next prime (2282840451373).

It is a super-2 number, since 2×2282840451360² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 359 ways as a sum of consecutive naturals, for example, 38692211011 + ... + 38692211069.

It is an arithmetic number, because the mean of its divisors is an integer number (4661446608).

Almost surely, 2^{2282840451360} is an apocalyptic number.

2282840451360 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 2282840451360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034362336640).

2282840451360 is an abundant number, since it is smaller than the sum of its proper divisors (7785884221920).

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

2282840451360 is a wasteful number, since it uses less digits than its factorization.

2282840451360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2282840451360 in words is "two trillion, two hundred eighty-two billion, eight hundred forty million, four hundred fifty-one thousand, three hundred sixty".