2242116784800 has 144 divisors (see below), whose sum is σ = 8108989116480. Its totient is φ = 597897803520.

The previous prime is 2242116784793. The next prime is 2242116784933. The reversal of 2242116784800 is 84876112422.

2242116784800 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 1 + 167 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2242116784800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51879252 + ... + 51922451.

It is an arithmetic number, because the mean of its divisors is an integer number (56312424420).

Almost surely, 2^{2242116784800} is an apocalyptic number.

2242116784800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242116784800 is an abundant number, since it is smaller than the sum of its proper divisors (5866872331680).

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

2242116784800 is a wasteful number, since it uses less digits than its factorization.

2242116784800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103801732 (or 103801713 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 2242116784800 in words is "two trillion, two hundred forty-two billion, one hundred sixteen million, seven hundred eighty-four thousand, eight hundred".