2275983216 has 120 divisors (see below), whose sum is σ = 7157937696. Its totient is φ = 669841920.

The previous prime is 2275983211. The next prime is 2275983223. The reversal of 2275983216 is 6123895722.

2275983216 is a `hidden beast` number, since 2 + 27 + 598 + 32 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275983211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16626 + ... + 69486.

Almost surely, 2^2275983216 is an apocalyptic number.

2275983216 is a gapful number since it is divisible by the number (26) 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 2275983216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578968848).

2275983216 is an abundant number, since it is smaller than the sum of its proper divisors (4881954480).

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

2275983216 is a wasteful number, since it uses less digits than its factorization.

2275983216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52911 (or 52902 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2275983216 is about 47707.2658617113. The cubic root of 2275983216 is about 1315.3954996913.

The spelling of 2275983216 in words is "two billion, two hundred seventy-five million, nine hundred eighty-three thousand, two hundred sixteen".