2268677854800 has 720 divisors, whose sum is σ = 9507888599040. Its totient is φ = 489720591360.

The previous prime is 2268677854747. The next prime is 2268677854867. The reversal of 2268677854800 is 84587768622.

2268677854800 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 6 + 77 + 85 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45763627 + ... + 45813173.

It is an arithmetic number, because the mean of its divisors is an integer number (13205400832).

Almost surely, 2^{2268677854800} is an apocalyptic number.

2268677854800 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 2268677854800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753944299520).

2268677854800 is an abundant number, since it is smaller than the sum of its proper divisors (7239210744240).

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

2268677854800 is a wasteful number, since it uses less digits than its factorization.

2268677854800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49680 (or 49666 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 2268677854800 in words is "two trillion, two hundred sixty-eight billion, six hundred seventy-seven million, eight hundred fifty-four thousand, eight hundred".