2220196440 has 512 divisors, whose sum is σ = 8971223040. Its totient is φ = 425779200.

The previous prime is 2220196421. The next prime is 2220196457. The reversal of 2220196440 is 446910222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2220196398 and 2220196407.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 6587952 + ... + 6588288.

It is an arithmetic number, because the mean of its divisors is an integer number (17521920).

Almost surely, 2^2220196440 is an apocalyptic number.

2220196440 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 2220196440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485611520).

2220196440 is an abundant number, since it is smaller than the sum of its proper divisors (6751026600).

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

2220196440 is a wasteful number, since it uses less digits than its factorization.

2220196440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2220196440 is about 47118.9605148501. The cubic root of 2220196440 is about 1304.5592263715.

The spelling of 2220196440 in words is "two billion, two hundred twenty million, one hundred ninety-six thousand, four hundred forty".