2268325788480 has 560 divisors, whose sum is σ = 8160636006864. Its totient is φ = 598046146560.

The previous prime is 2268325788401. The next prime is 2268325788497. The reversal of 2268325788480 is 848875238622.

2268325788480 is a `hidden beast` number, since 2 + 2 + 6 + 83 + 2 + 5 + 78 + 8 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 98455378176 + 2169870410304 = 313776^2 + 1473048^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 865441570 + ... + 865444190.

Almost surely, 2^{2268325788480} is an apocalyptic number.

2268325788480 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 2268325788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080318003432).

2268325788480 is an abundant number, since it is smaller than the sum of its proper divisors (5892310218384).

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

2268325788480 is a wasteful number, since it uses less digits than its factorization.

2268325788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 2997 counting only the distinct ones).

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

The spelling of 2268325788480 in words is "two trillion, two hundred sixty-eight billion, three hundred twenty-five million, seven hundred eighty-eight thousand, four hundred eighty".