2766540 has 72 divisors (see below), whose sum is σ = 9020592. Its totient is φ = 631680.

The previous prime is 2766539. The next prime is 2766551. The reversal of 2766540 is 456672.

2766540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2766498 and 2766507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2470 + ... + 3410.

It is an arithmetic number, because the mean of its divisors is an integer number (125286).

2^2766540 is an apocalyptic number.

2766540 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 2766540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510296).

2766540 is an abundant number, since it is smaller than the sum of its proper divisors (6254052).

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

2766540 is a wasteful number, since it uses less digits than its factorization.

2766540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2766540 is about 1663.2919166520. The cubic root of 2766540 is about 140.3822884939.

The spelling of 2766540 in words is "two million, seven hundred sixty-six thousand, five hundred forty".