2847264 has 96 divisors (see below), whose sum is σ = 9031680. Its totient is φ = 767232.

The previous prime is 2847259. The next prime is 2847269. The reversal of 2847264 is 4627482.

It is an interprime number because it is at equal distance from previous prime (2847259) and next prime (2847269).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (2847269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12657 + ... + 12879.

It is an arithmetic number, because the mean of its divisors is an integer number (94080).

2^2847264 is an apocalyptic number.

2847264 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 2847264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515840).

2847264 is an abundant number, since it is smaller than the sum of its proper divisors (6184416).

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

2847264 is a wasteful number, since it uses less digits than its factorization.

2847264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 2847264 is about 1687.3837737752. The cubic root of 2847264 is about 141.7346097777.

The spelling of 2847264 in words is "two million, eight hundred forty-seven thousand, two hundred sixty-four".