2683968 has 56 divisors (see below), whose sum is σ = 8119872. Its totient is φ = 766464.

The previous prime is 2683903. The next prime is 2683981. The reversal of 2683968 is 8693862.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 2¹³ + 6 + 8³ + 3¹² + 9 + 6⁶ + 8⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346 + ... + 2342.

2^2683968 is an apocalyptic number.

2683968 is a gapful number since it is divisible by the number (28) 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 2683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059936).

2683968 is an abundant number, since it is smaller than the sum of its proper divisors (5435904).

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

2683968 is a wasteful number, since it uses less digits than its factorization.

2683968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2009 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 2683968 is about 1638.2820270027. The cubic root of 2683968 is about 138.9715104733.

Subtracting from 2683968 its product of digits (124416), we obtain a palindrome (2559552).

The spelling of 2683968 in words is "two million, six hundred eighty-three thousand, nine hundred sixty-eight".