2629968 has 80 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 747520.

The previous prime is 2629943. The next prime is 2629969. The reversal of 2629968 is 8699262.

It is a d-powerful number, because it can be written as 2¹⁹ + 6 + 2²¹ + 9 + 9³ + 6⁵ + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2629969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8830 + ... + 9122.

2^2629968 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 2629968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2629968 is an abundant number, since it is smaller than the sum of its proper divisors (5244528).

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

2629968 is a wasteful number, since it uses less digits than its factorization.

2629968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 2629968 is about 1621.7176079700. The cubic root of 2629968 is about 138.0331783279.

The spelling of 2629968 in words is "two million, six hundred twenty-nine thousand, nine hundred sixty-eight".