2642068 has 48 divisors (see below), whose sum is σ = 5644800. Its totient is φ = 1065600.

The previous prime is 2642063. The next prime is 2642077. The reversal of 2642068 is 8602462.

2642068 = 57³ + 58³ + ... + 67³.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17658 + ... + 17806.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

2^2642068 is an apocalyptic number.

It is an amenable number.

2642068 is an abundant number, since it is smaller than the sum of its proper divisors (3002732).

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

2642068 is a wasteful number, since it uses less digits than its factorization.

2642068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2642068 is about 1625.4439393593. The cubic root of 2642068 is about 138.2445429472.

It can be divided in two parts, 264 and 2068, that added together give a palindrome (2332).

The spelling of 2642068 in words is "two million, six hundred forty-two thousand, sixty-eight".