2746880 has 80 divisors (see below), whose sum is σ = 6997320. Its totient is φ = 1032192.

The previous prime is 2746873. The next prime is 2746889. The reversal of 2746880 is 886472.

It can be written as a sum of positive squares in 4 ways, for example, as 2611456 + 135424 = 1616^2 + 368^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2746880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2746889) 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, 74222 + ... + 74258.

2^2746880 is an apocalyptic number.

2746880 is a gapful number since it is divisible by the number (20) 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 2746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498660).

2746880 is an abundant number, since it is smaller than the sum of its proper divisors (4250440).

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

2746880 is an equidigital number, since it uses as much as digits as its factorization.

2746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2746880 is about 1657.3714128101. The cubic root of 2746880 is about 140.0489624661.

The spelling of 2746880 in words is "two million, seven hundred forty-six thousand, eight hundred eighty".