2277181616 has 80 divisors (see below), whose sum is σ = 4916947200. Its totient is φ = 1017080064.

The previous prime is 2277181591. The next prime is 2277181633. The reversal of 2277181616 is 6161817722.

It is a super-2 number, since 2×2277181616² = 10371112224496742912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376085 + ... + 382091.

It is an arithmetic number, because the mean of its divisors is an integer number (61461840).

Almost surely, 2^2277181616 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 2277181616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458473600).

2277181616 is an abundant number, since it is smaller than the sum of its proper divisors (2639765584).

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

2277181616 is a wasteful number, since it uses less digits than its factorization.

2277181616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106 (or 6100 counting only the distinct ones).

The product of its digits is 56448, while the sum is 41.

The square root of 2277181616 is about 47719.8241404974. The cubic root of 2277181616 is about 1315.6263293626.

The spelling of 2277181616 in words is "two billion, two hundred seventy-seven million, one hundred eighty-one thousand, six hundred sixteen".