2884386960 has 720 divisors, whose sum is σ = 12812304960. Its totient is φ = 574801920.

The previous prime is 2884386949. The next prime is 2884386977. The reversal of 2884386960 is 696834882.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2884386897 and 2884386906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8713995 + ... + 8714325.

It is an arithmetic number, because the mean of its divisors is an integer number (17794868).

Almost surely, 2^2884386960 is an apocalyptic number.

2884386960 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 2884386960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406152480).

2884386960 is an abundant number, since it is smaller than the sum of its proper divisors (9927918000).

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

2884386960 is a wasteful number, since it uses less digits than its factorization.

2884386960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 2884386960 is about 53706.4889934168. The cubic root of 2884386960 is about 1423.4793603351.

The spelling of 2884386960 in words is "two billion, eight hundred eighty-four million, three hundred eighty-six thousand, nine hundred sixty".