2671968 has 48 divisors (see below), whose sum is σ = 7556976. Its totient is φ = 821760.

The previous prime is 2671961. The next prime is 2671969. The reversal of 2671968 is 8691762.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 2318.

It is an arithmetic number, because the mean of its divisors is an integer number (157437).

2^2671968 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 2671968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778488).

2671968 is an abundant number, since it is smaller than the sum of its proper divisors (4885008).

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

2671968 is a wasteful number, since it uses less digits than its factorization.

2671968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2159 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 2671968 is about 1634.6155511312. The cubic root of 2671968 is about 138.7640875234.

The spelling of 2671968 in words is "two million, six hundred seventy-one thousand, nine hundred sixty-eight".