2279745216 has 448 divisors, whose sum is σ = 8124748800. Its totient is φ = 613122048.

The previous prime is 2279745197. The next prime is 2279745227. The reversal of 2279745216 is 6125479722.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 23502480 + ... + 23502576.

It is an arithmetic number, because the mean of its divisors is an integer number (18135600).

Almost surely, 2^2279745216 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 2279745216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062374400).

2279745216 is an abundant number, since it is smaller than the sum of its proper divisors (5845003584).

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

2279745216 is a wasteful number, since it uses less digits than its factorization.

2279745216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 2279745216 is about 47746.6775388613. The cubic root of 2279745216 is about 1316.1198450860.

The spelling of 2279745216 in words is "two billion, two hundred seventy-nine million, seven hundred forty-five thousand, two hundred sixteen".