2722198248 has 384 divisors, whose sum is σ = 9917107200. Its totient is φ = 653184000.

The previous prime is 2722198223. The next prime is 2722198249. The reversal of 2722198248 is 8428912272.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2722198249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4529148 + ... + 4529748.

It is an arithmetic number, because the mean of its divisors is an integer number (25825800).

Almost surely, 2^2722198248 is an apocalyptic number.

2722198248 is a gapful number since it is divisible by the number (28) 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 2722198248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958553600).

2722198248 is an abundant number, since it is smaller than the sum of its proper divisors (7194908952).

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

2722198248 is a wasteful number, since it uses less digits than its factorization.

2722198248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 686 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2722198248 is about 52174.6897259581. The cubic root of 2722198248 is about 1396.2823557295.

The spelling of 2722198248 in words is "two billion, seven hundred twenty-two million, one hundred ninety-eight thousand, two hundred forty-eight".