2747264 has 48 divisors (see below), whose sum is σ = 5973120. Its totient is φ = 1257984.

The previous prime is 2747263. The next prime is 2747273. The reversal of 2747264 is 4627472.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2747264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2747263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21569 + ... + 21695.

It is an arithmetic number, because the mean of its divisors is an integer number (124440).

2^2747264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2747264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986560).

2747264 is an abundant number, since it is smaller than the sum of its proper divisors (3225856).

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

2747264 is a wasteful number, since it uses less digits than its factorization.

2747264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its digits is 18816, while the sum is 32.

The square root of 2747264 is about 1657.4872548530. The cubic root of 2747264 is about 140.0554882087.

The spelling of 2747264 in words is "two million, seven hundred forty-seven thousand, two hundred sixty-four".