2259208168000 has 112 divisors (see below), whose sum is σ = 6394204761984. Its totient is φ = 774585638400.

The previous prime is 2259208167967. The next prime is 2259208168027. The reversal of 2259208168000 is 8618029522.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20115502 + ... + 20227501.

Almost surely, 2^{2259208168000} is an apocalyptic number.

2259208168000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2259208168000 is an abundant number, since it is smaller than the sum of its proper divisors (4134996593984).

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

2259208168000 is an equidigital number, since it uses as much as digits as its factorization.

2259208168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40343037 (or 40343017 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 2259208168000 in words is "two trillion, two hundred fifty-nine billion, two hundred eight million, one hundred sixty-eight thousand".