2984808960 has 640 divisors, whose sum is σ = 12570624000. Its totient is φ = 656916480.

The previous prime is 2984808943. The next prime is 2984808961. The reversal of 2984808960 is 698084892.

2984808960 is a `hidden beast` number, since 29 + 8 + 480 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 2984808897 and 2984808906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2984808961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14998941 + ... + 14999139.

It is an arithmetic number, because the mean of its divisors is an integer number (19641600).

Almost surely, 2^2984808960 is an apocalyptic number.

2984808960 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 2984808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285312000).

2984808960 is an abundant number, since it is smaller than the sum of its proper divisors (9585815040).

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

2984808960 is a wasteful number, since it uses less digits than its factorization.

2984808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

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

The square root of 2984808960 is about 54633.4051657043. The cubic root of 2984808960 is about 1439.8110863286.

The spelling of 2984808960 in words is "two billion, nine hundred eighty-four million, eight hundred eight thousand, nine hundred sixty".