2984934960 has 720 divisors, whose sum is σ = 12646913760. Its totient is φ = 627056640.

The previous prime is 2984934959. The next prime is 2984934977. The reversal of 2984934960 is 694394892.

2984934960 is a `hidden beast` number, since 2 + 98 + 493 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 2984934897 and 2984934906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40889484 + ... + 40889556.

It is an arithmetic number, because the mean of its divisors is an integer number (17565158).

Almost surely, 2^2984934960 is an apocalyptic number.

2984934960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2984934960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323456880).

2984934960 is an abundant number, since it is smaller than the sum of its proper divisors (9661978800).

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

2984934960 is a wasteful number, since it uses less digits than its factorization.

2984934960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 2984934960 is about 54634.5582941786. The cubic root of 2984934960 is about 1439.8313459886.

The spelling of 2984934960 in words is "two billion, nine hundred eighty-four million, nine hundred thirty-four thousand, nine hundred sixty".