2272016349504 has 504 divisors, whose sum is σ = 7510652065280. Its totient is φ = 655319808000.

The previous prime is 2272016349439. The next prime is 2272016349517. The reversal of 2272016349504 is 4059436102722.

2272016349504 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 0 + 1 + 634 + 9 + 5 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2272016349504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131786517 + ... + 131803755.

Almost surely, 2^{2272016349504} is an apocalyptic number.

2272016349504 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 2272016349504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755326032640).

2272016349504 is an abundant number, since it is smaller than the sum of its proper divisors (5238635715776).

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

2272016349504 is a wasteful number, since it uses less digits than its factorization.

2272016349504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17371 (or 17347 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2272016349504 in words is "two trillion, two hundred seventy-two billion, sixteen million, three hundred forty-nine thousand, five hundred four".