2220093188753 has 12 divisors (see below), whose sum is σ = 2440595084340. Its totient is φ = 2017995782880.

The previous prime is 2220093188713. The next prime is 2220093188777. The reversal of 2220093188753 is 3578813900222.

2220093188753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1512489207889 + 707603980864 = 1229833^2 + 841192^2 .

It is not a de Polignac number, because 2220093188753 - 2²² = 2220088994449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2220093188713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322238 + ... + 2131671.

It is an arithmetic number, because the mean of its divisors is an integer number (203382923695).

Almost surely, 2^{2220093188753} is an apocalyptic number.

It is an amenable number.

2220093188753 is a deficient number, since it is larger than the sum of its proper divisors (220501895587).

2220093188753 is a wasteful number, since it uses less digits than its factorization.

2220093188753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461408 (or 2461397 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 2220093188753 in words is "two trillion, two hundred twenty billion, ninety-three million, one hundred eighty-eight thousand, seven hundred fifty-three".