2768352 has 24 divisors (see below), whose sum is σ = 7267176. Its totient is φ = 922752.

The previous prime is 2768351. The next prime is 2768371. The reversal of 2768352 is 2538672.

2768352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768351) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 14323 + ... + 14514.

It is an arithmetic number, because the mean of its divisors is an integer number (302799).

2^2768352 is an apocalyptic number.

It is an amenable number.

2768352 is an abundant number, since it is smaller than the sum of its proper divisors (4498824).

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

2768352 is a wasteful number, since it uses less digits than its factorization.

2768352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28850 (or 28842 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 2768352 is about 1663.8365304320. The cubic root of 2768352 is about 140.4129305223.

The spelling of 2768352 in words is "two million, seven hundred sixty-eight thousand, three hundred fifty-two".