2268299636352 has 288 divisors, whose sum is σ = 6630193277760. Its totient is φ = 744353280000.

The previous prime is 2268299636347. The next prime is 2268299636359. The reversal of 2268299636352 is 2536369928622.

2268299636352 is a `hidden beast` number, since 2 + 268 + 2 + 9 + 9 + 6 + 363 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (100776960) is a multiple of the sum of its prime factors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 2268299636352.

It is not an unprimeable number, because it can be changed into a prime (2268299636359) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3020371977 + ... + 3020372727.

Almost surely, 2^{2268299636352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268299636352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315096638880).

2268299636352 is an abundant number, since it is smaller than the sum of its proper divisors (4361893641408).

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

2268299636352 is an equidigital number, since it uses as much as digits as its factorization.

2268299636352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1176 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 2268299636352 in words is "two trillion, two hundred sixty-eight billion, two hundred ninety-nine million, six hundred thirty-six thousand, three hundred fifty-two".