2982968208 has 200 divisors, whose sum is σ = 9535702176. Its totient is φ = 892684800.

The previous prime is 2982968173. The next prime is 2982968221. The reversal of 2982968208 is 8028692892.

2982968208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1181988 + ... + 1184508.

Almost surely, 2^2982968208 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 2982968208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767851088).

2982968208 is an abundant number, since it is smaller than the sum of its proper divisors (6552733968).

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

2982968208 is a wasteful number, since it uses less digits than its factorization.

2982968208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 2982968208 is about 54616.5561711831. The cubic root of 2982968208 is about 1439.5150450313.

The spelling of 2982968208 in words is "two billion, nine hundred eighty-two million, nine hundred sixty-eight thousand, two hundred eight".