2643968 has 24 divisors (see below), whose sum is σ = 5290740. Its totient is φ = 1320960.

The previous prime is 2643961. The next prime is 2643989. The reversal of 2643968 is 8693462.

It is a d-powerful number, because it can be written as 2¹⁹ + 6² + 4⁹ + 3¹¹ + 9³ + 6⁸ + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1403 + ... + 2693.

2^2643968 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 2643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645370).

2643968 is an abundant number, since it is smaller than the sum of its proper divisors (2646772).

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

2643968 is an equidigital number, since it uses as much as digits as its factorization.

2643968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1293 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 2643968 is about 1626.0282900368. The cubic root of 2643968 is about 138.2776737741.

The spelling of 2643968 in words is "two million, six hundred forty-three thousand, nine hundred sixty-eight".