2884152960 has 512 divisors, whose sum is σ = 11330323200. Its totient is φ = 688766976.

The previous prime is 2884152949. The next prime is 2884153009. The reversal of 2884152960 is 692514882.

2884152960 is a `hidden beast` number, since 2 + 88 + 41 + 529 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8311507 + ... + 8311853.

Almost surely, 2^2884152960 is an apocalyptic number.

2884152960 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 2884152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665161600).

2884152960 is an abundant number, since it is smaller than the sum of its proper divisors (8446170240).

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

2884152960 is a wasteful number, since it uses less digits than its factorization.

2884152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2884152960 is about 53704.3104415279. The cubic root of 2884152960 is about 1423.4408653640.

The spelling of 2884152960 in words is "two billion, eight hundred eighty-four million, one hundred fifty-two thousand, nine hundred sixty".