2726016 has 64 divisors (see below), whose sum is σ = 7507200. Its totient is φ = 875520.

The previous prime is 2725997. The next prime is 2726023. The reversal of 2726016 is 6106272.

2726016 = T₂₆₅ + T₂₆₆ + ... + T₃₂₆.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 11790 + ... + 12018.

It is an arithmetic number, because the mean of its divisors is an integer number (117300).

2^2726016 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 2726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753600).

2726016 is an abundant number, since it is smaller than the sum of its proper divisors (4781184).

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

2726016 is a wasteful number, since it uses less digits than its factorization.

2726016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2726016 is about 1651.0651107694. The cubic root of 2726016 is about 139.6934790418.

The spelling of 2726016 in words is "two million, seven hundred twenty-six thousand, sixteen".