2768640 has 144 divisors (see below), whose sum is σ = 10203648. Its totient is φ = 626688.

The previous prime is 2768639. The next prime is 2768651. The reversal of 2768640 is 468672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26829 + ... + 26931.

2^2768640 is an apocalyptic number.

2768640 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 2768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101824).

2768640 is an abundant number, since it is smaller than the sum of its proper divisors (7435008).

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

2768640 is a wasteful number, since it uses less digits than its factorization.

2768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

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

The square root of 2768640 is about 1663.9230751450. The cubic root of 2768640 is about 140.4177995469.

Subtracting from 2768640 its reverse (468672), we obtain a cube (2299968 = 132³).

The spelling of 2768640 in words is "two million, seven hundred sixty-eight thousand, six hundred forty".