2228844350304 has 384 divisors, whose sum is σ = 7679570895360. Its totient is φ = 620002252800.

The previous prime is 2228844350303. The next prime is 2228844350309. The reversal of 2228844350304 is 4030534488222.

2228844350304 is a `hidden beast` number, since 2 + 2 + 28 + 84 + 43 + 503 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2228844350304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228844350303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22313079 + ... + 22412745.

It is an arithmetic number, because the mean of its divisors is an integer number (19998882540).

Almost surely, 2^{2228844350304} is an apocalyptic number.

2228844350304 is a gapful number since it is divisible by the number (24) 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 2228844350304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839785447680).

2228844350304 is an abundant number, since it is smaller than the sum of its proper divisors (5450726545056).

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

2228844350304 is a wasteful number, since it uses less digits than its factorization.

2228844350304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99891 (or 99877 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 2228844350304 in words is "two trillion, two hundred twenty-eight billion, eight hundred forty-four million, three hundred fifty thousand, three hundred four".