2982587168 has 192 divisors, whose sum is σ = 7342876800. Its totient is φ = 1174487040.

The previous prime is 2982587143. The next prime is 2982587173. The reversal of 2982587168 is 8617852892.

It is a happy number.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4206398 + ... + 4207106.

It is an arithmetic number, because the mean of its divisors is an integer number (38244150).

Almost surely, 2^2982587168 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 2982587168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671438400).

2982587168 is an abundant number, since it is smaller than the sum of its proper divisors (4360289632).

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

2982587168 is a wasteful number, since it uses less digits than its factorization.

2982587168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 56.

The square root of 2982587168 is about 54613.0677402396. The cubic root of 2982587168 is about 1439.4537485718.

The spelling of 2982587168 in words is "two billion, nine hundred eighty-two million, five hundred eighty-seven thousand, one hundred sixty-eight".