2272486855680 has 792 divisors, whose sum is σ = 8318078088840. Its totient is φ = 595524648960.

The previous prime is 2272486855651. The next prime is 2272486855697. The reversal of 2272486855680 is 865586842722.

It is a happy number.

2272486855680 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 4 + 8 + 68 + 5 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 210482758656 + 2062004097024 = 458784^2 + 1435968^2 .

It is a zygodrome in base 6.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2049130966 + ... + 2049132074.

Almost surely, 2^{2272486855680} is an apocalyptic number.

2272486855680 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 2272486855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159039044420).

2272486855680 is an abundant number, since it is smaller than the sum of its proper divisors (6045591233160).

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

2272486855680 is an frugal number, since it uses more digits than its factorization.

2272486855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 2272486855680 in words is "two trillion, two hundred seventy-two billion, four hundred eighty-six million, eight hundred fifty-five thousand, six hundred eighty".