2208768 has 44 divisors (see below), whose sum is σ = 5895360. Its totient is φ = 735232.

The previous prime is 2208757. The next prime is 2208779. The reversal of 2208768 is 8678022.

It is an interprime number because it is at equal distance from previous prime (2208757) and next prime (2208779).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2713 + ... + 3431.

2^2208768 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 2208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947680).

2208768 is an abundant number, since it is smaller than the sum of its proper divisors (3686592).

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

2208768 is an equidigital number, since it uses as much as digits as its factorization.

2208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2208768 is about 1486.1924505258. The cubic root of 2208768 is about 130.2316972574.

It can be divided in two parts, 22087 and 68, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 2208768 in words is "two million, two hundred eight thousand, seven hundred sixty-eight".