2220072192 has 288 divisors, whose sum is σ = 7307381760. Its totient is φ = 660234240.

The previous prime is 2220072133. The next prime is 2220072193. The reversal of 2220072192 is 2912700222.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220072193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2785138 + ... + 2785934.

Almost surely, 2^2220072192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220072192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653690880).

2220072192 is an abundant number, since it is smaller than the sum of its proper divisors (5087309568).

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

2220072192 is a wasteful number, since it uses less digits than its factorization.

2220072192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2220072192 is about 47117.6420462654. The cubic root of 2220072192 is about 1304.5348904020.

The spelling of 2220072192 in words is "two billion, two hundred twenty million, seventy-two thousand, one hundred ninety-two".