2228576555520 has 960 divisors, whose sum is σ = 9367565366016. Its totient is φ = 477993369600.

The previous prime is 2228576555507. The next prime is 2228576555549. The reversal of 2228576555520 is 255556758222.

2228576555520 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 5 + 7 + 65 + 55 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

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, 1099444747 + ... + 1099446773.

Almost surely, 2^{2228576555520} is an apocalyptic number.

2228576555520 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 2228576555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683782683008).

2228576555520 is an abundant number, since it is smaller than the sum of its proper divisors (7138988810496).

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

2228576555520 is a wasteful number, since it uses less digits than its factorization.

2228576555520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 16800000, while the sum is 54.

The spelling of 2228576555520 in words is "two trillion, two hundred twenty-eight billion, five hundred seventy-six million, five hundred fifty-five thousand, five hundred twenty".