2984724288 has 784 divisors, whose sum is σ = 11815592320. Its totient is φ = 725594112.

The previous prime is 2984724271. The next prime is 2984724313. The reversal of 2984724288 is 8824274892.

2984724288 is a `hidden beast` number, since 2 + 98 + 472 + 4 + 2 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 80668206 + ... + 80668242.

Almost surely, 2^2984724288 is an apocalyptic number.

2984724288 is a gapful number since it is divisible by the number (28) 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 2984724288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907796160).

2984724288 is an abundant number, since it is smaller than the sum of its proper divisors (8830868032).

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

2984724288 is a wasteful number, since it uses less digits than its factorization.

2984724288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 2984724288 is about 54632.6302496960. The cubic root of 2984724288 is about 1439.7974715168.

The spelling of 2984724288 in words is "two billion, nine hundred eighty-four million, seven hundred twenty-four thousand, two hundred eighty-eight".