2220016105200 has 120 divisors (see below), whose sum is σ = 7112882246400. Its totient is φ = 591885198080.

The previous prime is 2220016105189. The next prime is 2220016105277. The reversal of 2220016105200 is 25016100222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 5863231 + ... + 6230369.

It is an arithmetic number, because the mean of its divisors is an integer number (59274018720).

Almost surely, 2^{2220016105200} is an apocalyptic number.

2220016105200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220016105200 is an abundant number, since it is smaller than the sum of its proper divisors (4892866141200).

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

2220016105200 is a wasteful number, since it uses less digits than its factorization.

2220016105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372199 (or 372188 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 2220016105200 in words is "two trillion, two hundred twenty billion, sixteen million, one hundred five thousand, two hundred".