2275641216 has 160 divisors (see below), whose sum is σ = 7171195680. Its totient is φ = 713871360.

The previous prime is 2275641209. The next prime is 2275641239. The reversal of 2275641216 is 6121465722.

It is a happy number.

2275641216 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 641 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 169801 + ... + 182711.

It is an arithmetic number, because the mean of its divisors is an integer number (44819973).

Almost surely, 2^2275641216 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 2275641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585597840).

2275641216 is an abundant number, since it is smaller than the sum of its proper divisors (4895554464).

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

2275641216 is a wasteful number, since it uses less digits than its factorization.

2275641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12954 (or 12933 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2275641216 is about 47703.6813673746. The cubic root of 2275641216 is about 1315.3296105417.

The spelling of 2275641216 in words is "two billion, two hundred seventy-five million, six hundred forty-one thousand, two hundred sixteen".