2277116160 has 576 divisors, whose sum is σ = 8589901824. Its totient is φ = 508723200.

The previous prime is 2277116117. The next prime is 2277116239. The reversal of 2277116160 is 616117722.

It is a super-2 number, since 2×2277116160² = 10370516012266291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48449257 + ... + 48449303.

It is an arithmetic number, because the mean of its divisors is an integer number (14913024).

Almost surely, 2^2277116160 is an apocalyptic number.

2277116160 is a gapful number since it is divisible by the number (20) 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 2277116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294950912).

2277116160 is an abundant number, since it is smaller than the sum of its proper divisors (6312785664).

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

2277116160 is a wasteful number, since it uses less digits than its factorization.

2277116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 2277116160 is about 47719.1382990095. The cubic root of 2277116160 is about 1315.6137236543.

The spelling of 2277116160 in words is "two billion, two hundred seventy-seven million, one hundred sixteen thousand, one hundred sixty".