2768512 has 32 divisors (see below), whose sum is σ = 5654880. Its totient is φ = 1349376.

The previous prime is 2768497. The next prime is 2768539. The reversal of 2768512 is 2158672.

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (6720) is a multiple of the sum of its prime factors (560).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5253 + ... + 5755.

It is an arithmetic number, because the mean of its divisors is an integer number (176715).

2^2768512 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 2768512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827440).

2768512 is an abundant number, since it is smaller than the sum of its proper divisors (2886368).

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

2768512 is an equidigital number, since it uses as much as digits as its factorization.

2768512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 548 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 2768512 is about 1663.8846113839. The cubic root of 2768512 is about 140.4156355776.

The spelling of 2768512 in words is "two million, seven hundred sixty-eight thousand, five hundred twelve".