2280814848000 has 960 divisors, whose sum is σ = 9157247058960. Its totient is φ = 561364992000.

The previous prime is 2280814847977. The next prime is 2280814848061. The reversal of 2280814848000 is 8484180822.

2280814848000 is a `hidden beast` number, since 2 + 28 + 0 + 8 + 148 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 64670524416 + 2216144323584 = 254304^2 + 1488672^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 269563770 + ... + 269572230.

Almost surely, 2^{2280814848000} is an apocalyptic number.

2280814848000 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 2280814848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4578623529480).

2280814848000 is an abundant number, since it is smaller than the sum of its proper divisors (6876432210960).

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

2280814848000 is an equidigital number, since it uses as much as digits as its factorization.

2280814848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8523 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 2280814848000 in words is "two trillion, two hundred eighty billion, eight hundred fourteen million, eight hundred forty-eight thousand".