2228646420 has 1152 divisors, whose sum is σ = 10296115200. Its totient is φ = 391910400.

The previous prime is 2228646361. The next prime is 2228646421. The reversal of 2228646420 is 246468222.

2228646420 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 6 + 4 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228646421) 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 383 ways as a sum of consecutive naturals, for example, 71891805 + ... + 71891835.

It is an arithmetic number, because the mean of its divisors is an integer number (8937600).

Almost surely, 2^2228646420 is an apocalyptic number.

2228646420 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 2228646420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148057600).

2228646420 is an abundant number, since it is smaller than the sum of its proper divisors (8067468780).

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

2228646420 is a wasteful number, since it uses less digits than its factorization.

2228646420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2228646420 is about 47208.5418118374. The cubic root of 2228646420 is about 1306.2121647733.

The spelling of 2228646420 in words is "two billion, two hundred twenty-eight million, six hundred forty-six thousand, four hundred twenty".