2277309216 has 384 divisors, whose sum is σ = 7772889600. Its totient is φ = 567705600.

The previous prime is 2277309161. The next prime is 2277309217. The reversal of 2277309216 is 6129037722.

It is a super-2 number, since 2×2277309216² = 10372274530557069312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2277309217) 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 63 ways as a sum of consecutive naturals, for example, 22547566 + ... + 22547666.

It is an arithmetic number, because the mean of its divisors is an integer number (20241900).

Almost surely, 2^2277309216 is an apocalyptic number.

2277309216 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 2277309216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886444800).

2277309216 is an abundant number, since it is smaller than the sum of its proper divisors (5495580384).

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

2277309216 is a wasteful number, since it uses less digits than its factorization.

2277309216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 2277309216 is about 47721.1610923288. The cubic root of 2277309216 is about 1315.6509022503.

The spelling of 2277309216 in words is "two billion, two hundred seventy-seven million, three hundred nine thousand, two hundred sixteen".