2766240 has 144 divisors (see below), whose sum is σ = 10083528. Its totient is φ = 688128.

The previous prime is 2766227. The next prime is 2766251. The reversal of 2766240 is 426672.

It can be written as a sum of positive squares in 4 ways, for example, as 1774224 + 992016 = 1332^2 + 996^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24424 + ... + 24536.

2^2766240 is an apocalyptic number.

2766240 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 2766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041764).

2766240 is an abundant number, since it is smaller than the sum of its proper divisors (7317288).

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

2766240 is a wasteful number, since it uses less digits than its factorization.

2766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2766240 is about 1663.2017316008. The cubic root of 2766240 is about 140.3772140196.

The spelling of 2766240 in words is "two million, seven hundred sixty-six thousand, two hundred forty".