2671768 has 32 divisors (see below), whose sum is σ = 5538960. Its totient is φ = 1198080.

The previous prime is 2671751. The next prime is 2671777. The reversal of 2671768 is 8671762.

It is a happy number.

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, 8380 + ... + 8692.

2^2671768 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 2671768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769480).

2671768 is an abundant number, since it is smaller than the sum of its proper divisors (2867192).

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

2671768 is a wasteful number, since it uses less digits than its factorization.

2671768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 2671768 is about 1634.5543735220. The cubic root of 2671768 is about 138.7606252178.

The spelling of 2671768 in words is "two million, six hundred seventy-one thousand, seven hundred sixty-eight".