2640768 has 96 divisors (see below), whose sum is σ = 7896840. Its totient is φ = 777216.

The previous prime is 2640767. The next prime is 2640779. The reversal of 2640768 is 8670462.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114805 + ... + 114827.

2^2640768 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 2640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948420).

2640768 is an abundant number, since it is smaller than the sum of its proper divisors (5256072).

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

2640768 is a wasteful number, since it uses less digits than its factorization.

2640768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2640768 is about 1625.0439994043. The cubic root of 2640768 is about 138.2218653338.

The spelling of 2640768 in words is "two million, six hundred forty thousand, seven hundred sixty-eight".