2884778960 has 240 divisors, whose sum is σ = 8388387216. Its totient is φ = 916586496.

The previous prime is 2884778947. The next prime is 2884778971. The reversal of 2884778960 is 698774882.

It can be written as a sum of positive squares in 8 ways, for example, as 81288256 + 2803490704 = 9016^2 + 52948^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2884778960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4864424 + ... + 4865016.

Almost surely, 2^2884778960 is an apocalyptic number.

2884778960 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 2884778960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194193608).

2884778960 is an abundant number, since it is smaller than the sum of its proper divisors (5503608256).

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

2884778960 is a wasteful number, since it uses less digits than its factorization.

2884778960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 59.

The square root of 2884778960 is about 53710.1383353273. The cubic root of 2884778960 is about 1423.5438429722.

The spelling of 2884778960 in words is "two billion, eight hundred eighty-four million, seven hundred seventy-eight thousand, nine hundred sixty".