2768238 has 72 divisors (see below), whose sum is σ = 6971328. Its totient is φ = 792000.

The previous prime is 2768237. The next prime is 2768251. The reversal of 2768238 is 8328672.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67498 + ... + 67538.

It is an arithmetic number, because the mean of its divisors is an integer number (96824).

2^2768238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485664).

2768238 is an abundant number, since it is smaller than the sum of its proper divisors (4203090).

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

2768238 is a wasteful number, since it uses less digits than its factorization.

2768238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2768238 is about 1663.8022719061. The cubic root of 2768238 is about 140.4110031068.

It can be divided in two parts, 27 and 68238, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 2768238 in words is "two million, seven hundred sixty-eight thousand, two hundred thirty-eight".