2668512 has 144 divisors (see below), whose sum is σ = 9217152. Its totient is φ = 656640.

The previous prime is 2668469. The next prime is 2668553. The reversal of 2668512 is 2158662.

2668512 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2668512.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 140439 + ... + 140457.

It is an arithmetic number, because the mean of its divisors is an integer number (64008).

2^2668512 is an apocalyptic number.

2668512 is a gapful number since it is divisible by the number (22) 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 2668512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608576).

2668512 is an abundant number, since it is smaller than the sum of its proper divisors (6548640).

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

2668512 is a wasteful number, since it uses less digits than its factorization.

2668512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 2668512 is about 1633.5580797756. The cubic root of 2668512 is about 138.7042345614.

It can be divided in two parts, 266 and 8512, that added together give a palindrome (8778).

The spelling of 2668512 in words is "two million, six hundred sixty-eight thousand, five hundred twelve".