2768052 has 48 divisors (see below), whose sum is σ = 7626752. Its totient is φ = 764640.

The previous prime is 2768041. The next prime is 2768057. The reversal of 2768052 is 2508672.

2768052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2768052² = 15324223749408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768057) 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 15 ways as a sum of consecutive naturals, for example, 2073 + ... + 3135.

2^2768052 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 2768052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813376).

2768052 is an abundant number, since it is smaller than the sum of its proper divisors (4858700).

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

2768052 is a wasteful number, since it uses less digits than its factorization.

2768052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2768052 is about 1663.7463749021. The cubic root of 2768052 is about 140.4078582626.

Adding to 2768052 its product of nonzero digits (6720), we get a palindrome (2774772).

The spelling of 2768052 in words is "two million, seven hundred sixty-eight thousand, fifty-two".