2192220720 has 320 divisors, whose sum is σ = 8060912640. Its totient is φ = 545697792.

The previous prime is 2192220649. The next prime is 2192220727. The reversal of 2192220720 is 270222912.

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

It is not an unprimeable number, because it can be changed into a prime (2192220727) 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 63 ways as a sum of consecutive naturals, for example, 8335309 + ... + 8335571.

It is an arithmetic number, because the mean of its divisors is an integer number (25190352).

Almost surely, 2^2192220720 is an apocalyptic number.

2192220720 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 2192220720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030456320).

2192220720 is an abundant number, since it is smaller than the sum of its proper divisors (5868691920).

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

2192220720 is a wasteful number, since it uses less digits than its factorization.

2192220720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 517 counting only the distinct ones).

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

The square root of 2192220720 is about 46821.1567563212. The cubic root of 2192220720 is about 1299.0566568528.

The spelling of 2192220720 in words is "two billion, one hundred ninety-two million, two hundred twenty thousand, seven hundred twenty".