2984889960 has 256 divisors, whose sum is σ = 11085984000. Its totient is φ = 709309440.

The previous prime is 2984889923. The next prime is 2984889961. The reversal of 2984889960 is 699884892.

2984889960 is a `hidden beast` number, since 2 + 9 + 8 + 488 + 99 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (2984889961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 403495 + ... + 410825.

It is an arithmetic number, because the mean of its divisors is an integer number (43304625).

Almost surely, 2^2984889960 is an apocalyptic number.

2984889960 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 2984889960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542992000).

2984889960 is an abundant number, since it is smaller than the sum of its proper divisors (8101094040).

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

2984889960 is a wasteful number, since it uses less digits than its factorization.

2984889960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7393 (or 7383 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The square root of 2984889960 is about 54634.1464653746. The cubic root of 2984889960 is about 1439.8241104612.

The spelling of 2984889960 in words is "two billion, nine hundred eighty-four million, eight hundred eighty-nine thousand, nine hundred sixty".