2659968 has 48 divisors (see below), whose sum is σ = 7657650. Its totient is φ = 886272.

The previous prime is 2659963. The next prime is 2659999. The reversal of 2659968 is 8699562.

It can be written as a sum of positive squares in only one way, i.e., 1871424 + 788544 = 1368^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2659968² = 14150859522048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2659963) 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 5 ways as a sum of consecutive naturals, for example, 3 + ... + 2306.

2^2659968 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 2659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828825).

2659968 is an abundant number, since it is smaller than the sum of its proper divisors (4997682).

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

2659968 is a wasteful number, since it uses less digits than its factorization.

2659968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2314 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 2659968 is about 1630.9408327711. The cubic root of 2659968 is about 138.5560426059.

The spelling of 2659968 in words is "two million, six hundred fifty-nine thousand, nine hundred sixty-eight".