2286101068800 has 132 divisors (see below), whose sum is σ = 7555683353976. Its totient is φ = 609626931200.

The previous prime is 2286101068799. The next prime is 2286101068847. The reversal of 2286101068800 is 88601016822.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14806671 + ... + 14960270.

Almost surely, 2^{2286101068800} is an apocalyptic number.

2286101068800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2286101068800 is an abundant number, since it is smaller than the sum of its proper divisors (5269582285176).

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

2286101068800 is a wasteful number, since it uses less digits than its factorization.

2286101068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29766974 (or 29766951 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 2286101068800 in words is "two trillion, two hundred eighty-six billion, one hundred one million, sixty-eight thousand, eight hundred".