2607264 has 72 divisors (see below), whose sum is σ = 8098272. Its totient is φ = 789120.

The previous prime is 2607217. The next prime is 2607271. The reversal of 2607264 is 4627062.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2757 + ... + 3579.

It is an arithmetic number, because the mean of its divisors is an integer number (112476).

2^2607264 is an apocalyptic number.

2607264 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 2607264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049136).

2607264 is an abundant number, since it is smaller than the sum of its proper divisors (5491008).

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

2607264 is a wasteful number, since it uses less digits than its factorization.

2607264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2607264 is about 1614.7024493695. The cubic root of 2607264 is about 137.6348253299.

The spelling of 2607264 in words is "two million, six hundred seven thousand, two hundred sixty-four".