2726464 has 56 divisors (see below), whose sum is σ = 6080760. Its totient is φ = 1204224.

The previous prime is 2726461. The next prime is 2726473. The reversal of 2726464 is 4646272.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 2689600 = 192^2 + 1640^2 .

It is not an unprimeable number, because it can be changed into a prime (2726461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24072 + ... + 24184.

It is an arithmetic number, because the mean of its divisors is an integer number (108585).

2^2726464 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 2726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040380).

2726464 is an abundant number, since it is smaller than the sum of its proper divisors (3354296).

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

2726464 is a wasteful number, since it uses less digits than its factorization.

2726464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its digits is 16128, while the sum is 31.

The square root of 2726464 is about 1651.2007751936. The cubic root of 2726464 is about 139.7011311430.

The spelling of 2726464 in words is "two million, seven hundred twenty-six thousand, four hundred sixty-four".