2216720668900 has 36 divisors (see below), whose sum is σ = 4814817808500. Its totient is φ = 885852515200.

The previous prime is 2216720668861. The next prime is 2216720668901. The reversal of 2216720668900 is 98660276122.

It can be written as a sum of positive squares in 6 ways, for example, as 393507799204 + 1823212869696 = 627302^2 + 1350264^2 .

It is not an unprimeable number, because it can be changed into a prime (2216720668901) by changing a digit.

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, 10340275 + ... + 10552474.

It is an arithmetic number, because the mean of its divisors is an integer number (133744939125).

Almost surely, 2^{2216720668900} is an apocalyptic number.

2216720668900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2216720668900 is an abundant number, since it is smaller than the sum of its proper divisors (2598097139600).

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

2216720668900 is a wasteful number, since it uses less digits than its factorization.

2216720668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20893824 (or 20893817 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 2216720668900 in words is "two trillion, two hundred sixteen billion, seven hundred twenty million, six hundred sixty-eight thousand, nine hundred".