2746656 has 144 divisors (see below), whose sum is σ = 9283680. Its totient is φ = 783360.

The previous prime is 2746651. The next prime is 2746661. The reversal of 2746656 is 6566472.

It is an interprime number because it is at equal distance from previous prime (2746651) and next prime (2746661).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (60480) is a multiple of the sum of its prime factors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2746656.

It is not an unprimeable number, because it can be changed into a prime (2746651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161560 + ... + 161576.

It is an arithmetic number, because the mean of its divisors is an integer number (64470).

2^2746656 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 2746656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641840).

2746656 is an abundant number, since it is smaller than the sum of its proper divisors (6537024).

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

2746656 is a wasteful number, since it uses less digits than its factorization.

2746656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 33 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 2746656 is about 1657.3038345457. The cubic root of 2746656 is about 140.0451555020.

It can be divided in two parts, 27 and 46656, that multiplied together give a cube (1259712 = 108³).

The spelling of 2746656 in words is "two million, seven hundred forty-six thousand, six hundred fifty-six".