2874288384 has 432 divisors, whose sum is σ = 9795502080. Its totient is φ = 801239040.

The previous prime is 2874288377. The next prime is 2874288407. The reversal of 2874288384 is 4838824782.

2874288384 is a `hidden beast` number, since 287 + 4 + 288 + 3 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2874288384.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22632129 + ... + 22632255.

Almost surely, 2^2874288384 is an apocalyptic number.

2874288384 is a gapful number since it is divisible by the number (24) 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 2874288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897751040).

2874288384 is an abundant number, since it is smaller than the sum of its proper divisors (6921213696).

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

2874288384 is a wasteful number, since it uses less digits than its factorization.

2874288384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The square root of 2874288384 is about 53612.3902097267. The cubic root of 2874288384 is about 1421.8161619119.

The spelling of 2874288384 in words is "two billion, eight hundred seventy-four million, two hundred eighty-eight thousand, three hundred eighty-four".