2272706627616 has 144 divisors (see below), whose sum is σ = 6530159956320. Its totient is φ = 749718251520.

The previous prime is 2272706627599. The next prime is 2272706627617. The reversal of 2272706627616 is 6167266072722.

2272706627616 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 7 + 0 + 6 + 627 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2272706627617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21393511 + ... + 21499481.

It is an arithmetic number, because the mean of its divisors is an integer number (45348333030).

Almost surely, 2^{2272706627616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272706627616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265079978160).

2272706627616 is an abundant number, since it is smaller than the sum of its proper divisors (4257453328704).

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

2272706627616 is a wasteful number, since it uses less digits than its factorization.

2272706627616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106759 (or 106748 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 2272706627616 in words is "two trillion, two hundred seventy-two billion, seven hundred six million, six hundred twenty-seven thousand, six hundred sixteen".