2761264 has 40 divisors (see below), whose sum is σ = 6048720. Its totient is φ = 1209600.

The previous prime is 2761229. The next prime is 2761267. The reversal of 2761264 is 4621672.

It is not an unprimeable number, because it can be changed into a prime (2761267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4834 + ... + 5374.

It is an arithmetic number, because the mean of its divisors is an integer number (151218).

2^2761264 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 2761264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024360).

2761264 is an abundant number, since it is smaller than the sum of its proper divisors (3287456).

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

2761264 is a wasteful number, since it uses less digits than its factorization.

2761264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 2761264 is about 1661.7051483341. The cubic root of 2761264 is about 140.2929918414.

It can be divided in two parts, 2761 and 264, that added together give a square (3025 = 55²).

The spelling of 2761264 in words is "two million, seven hundred sixty-one thousand, two hundred sixty-four".