2984856480 has 144 divisors (see below), whose sum is σ = 10563213024. Its totient is φ = 795951360.

The previous prime is 2984856463. The next prime is 2984856493. The reversal of 2984856480 is 846584892.

2984856480 is a `hidden beast` number, since 2 + 9 + 84 + 85 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 495 + ... + 77265.

It is an arithmetic number, because the mean of its divisors is an integer number (73355646).

Almost surely, 2^2984856480 is an apocalyptic number.

2984856480 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 2984856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281606512).

2984856480 is an abundant number, since it is smaller than the sum of its proper divisors (7578356544).

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

2984856480 is an equidigital number, since it uses as much as digits as its factorization.

2984856480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76801 (or 76781 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2984856480 is about 54633.8400627304. The cubic root of 2984856480 is about 1439.8187271816.

The spelling of 2984856480 in words is "two billion, nine hundred eighty-four million, eight hundred fifty-six thousand, four hundred eighty".