2280718288800 has 1296 divisors, whose sum is σ = 9610247529792. Its totient is φ = 507309465600.

The previous prime is 2280718288799. The next prime is 2280718288801. The reversal of 2280718288800 is 88828170822.

2280718288800 is a `hidden beast` number, since 2 + 280 + 7 + 1 + 8 + 288 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2280718288799) and next prime (2280718288801).

It is not an unprimeable number, because it can be changed into a prime (2280718288801) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 2079049852 + ... + 2079050948.

It is an arithmetic number, because the mean of its divisors is an integer number (7415314452).

Almost surely, 2^{2280718288800} is an apocalyptic number.

2280718288800 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 2280718288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805123764896).

2280718288800 is an abundant number, since it is smaller than the sum of its proper divisors (7329529240992).

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

2280718288800 is a wasteful number, since it uses less digits than its factorization.

2280718288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The spelling of 2280718288800 in words is "two trillion, two hundred eighty billion, seven hundred eighteen million, two hundred eighty-eight thousand, eight hundred".