2847253248 has 288 divisors, whose sum is σ = 9752332800. Its totient is φ = 802566144.

The previous prime is 2847253231. The next prime is 2847253271. The reversal of 2847253248 is 8423527482.

2847253248 is a `hidden beast` number, since 2 + 8 + 4 + 72 + 532 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 4015518 + ... + 4016226.

Almost surely, 2^2847253248 is an apocalyptic number.

2847253248 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 2847253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876166400).

2847253248 is an abundant number, since it is smaller than the sum of its proper divisors (6905079552).

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

2847253248 is an equidigital number, since it uses as much as digits as its factorization.

2847253248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 804 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 2847253248 is about 53359.6593692276. The cubic root of 2847253248 is about 1417.3443136872.

The spelling of 2847253248 in words is "two billion, eight hundred forty-seven million, two hundred fifty-three thousand, two hundred forty-eight".