2202118628160 has 448 divisors, whose sum is σ = 8015717597184. Its totient is φ = 507335270400.

The previous prime is 2202118628111. The next prime is 2202118628167. The reversal of 2202118628160 is 618268112022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202118628167) 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 63 ways as a sum of consecutive naturals, for example, 16735425 + ... + 16866495.

Almost surely, 2^{2202118628160} is an apocalyptic number.

2202118628160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202118628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007858798592).

2202118628160 is an abundant number, since it is smaller than the sum of its proper divisors (5813598969024).

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

2202118628160 is a wasteful number, since it uses less digits than its factorization.

2202118628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131182 (or 131172 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 2202118628160 in words is "two trillion, two hundred two billion, one hundred eighteen million, six hundred twenty-eight thousand, one hundred sixty".