2182616982 has 256 divisors, whose sum is σ = 6374860800. Its totient is φ = 537477120.

The previous prime is 2182616929. The next prime is 2182616987. The reversal of 2182616982 is 2896162812.

2182616982 is a `hidden beast` number, since 21 + 8 + 2 + 616 + 9 + 8 + 2 = 666.

It is a super-2 number, since 2×2182616982² = 9527633780229576648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182616987) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9056382 + ... + 9056622.

It is an arithmetic number, because the mean of its divisors is an integer number (24901800).

Almost surely, 2^2182616982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2182616982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187430400).

2182616982 is an abundant number, since it is smaller than the sum of its proper divisors (4192243818).

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

2182616982 is a wasteful number, since it uses less digits than its factorization.

2182616982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 2182616982 is about 46718.4865123005. The cubic root of 2182616982 is about 1297.1568994914.

The spelling of 2182616982 in words is "two billion, one hundred eighty-two million, six hundred sixteen thousand, nine hundred eighty-two".