2182977216 has 280 divisors, whose sum is σ = 7572857600. Its totient is φ = 608767488.

The previous prime is 2182977187. The next prime is 2182977229. The reversal of 2182977216 is 6127792812.

It is a happy number.

It is a super-2 number, since 2×2182977216² = 9530779051150221312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1559685 + ... + 1561083.

It is an arithmetic number, because the mean of its divisors is an integer number (27045920).

Almost surely, 2^2182977216 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 2182977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786428800).

2182977216 is an abundant number, since it is smaller than the sum of its proper divisors (5389880384).

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

2182977216 is a wasteful number, since it uses less digits than its factorization.

2182977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1454 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 2182977216 is about 46722.3417221355. The cubic root of 2182977216 is about 1297.2282594410.

The spelling of 2182977216 in words is "two billion, one hundred eighty-two million, nine hundred seventy-seven thousand, two hundred sixteen".