2715264 has 48 divisors (see below), whose sum is σ = 7816770. Its totient is φ = 904704.

The previous prime is 2715263. The next prime is 2715269. The reversal of 2715264 is 4625172.

It can be written as a sum of positive squares in only one way, i.e., 2585664 + 129600 = 1608^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2715263) 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, 27 + ... + 2330.

2^2715264 is an apocalyptic number.

2715264 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 2715264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908385).

2715264 is an abundant number, since it is smaller than the sum of its proper divisors (5101506).

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

2715264 is a wasteful number, since it uses less digits than its factorization.

2715264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2362 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2715264 is about 1647.8058138021. The cubic root of 2715264 is about 139.5095765577.

The spelling of 2715264 in words is "two million, seven hundred fifteen thousand, two hundred sixty-four".