2766720 has 128 divisors (see below), whose sum is σ = 9694080. Its totient is φ = 665600.

The previous prime is 2766713. The next prime is 2766727. The reversal of 2766720 is 276672.

It is an interprime number because it is at equal distance from previous prime (2766713) and next prime (2766727).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2766727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21055 + ... + 21185.

It is an arithmetic number, because the mean of its divisors is an integer number (75735).

2^2766720 is an apocalyptic number.

2766720 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 2766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847040).

2766720 is an abundant number, since it is smaller than the sum of its proper divisors (6927360).

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

2766720 is a wasteful number, since it uses less digits than its factorization.

2766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 2766720 is about 1663.3460253357. The cubic root of 2766720 is about 140.3853330025.

It can be divided in two parts, 2766 and 720, that added together give a triangular number (3486 = T₈₃).

The spelling of 2766720 in words is "two million, seven hundred sixty-six thousand, seven hundred twenty".