2791968 has 48 divisors (see below), whose sum is σ = 7418880. Its totient is φ = 919296.

The previous prime is 2791967. The next prime is 2791969. The reversal of 2791968 is 8691972.

It is an interprime number because it is at equal distance from previous prime (2791967) and next prime (2791969).

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

It is not an unprimeable number, because it can be changed into a prime (2791963) 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, 12078 + ... + 12306.

It is an arithmetic number, because the mean of its divisors is an integer number (154560).

2^2791968 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 2791968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709440).

2791968 is an abundant number, since it is smaller than the sum of its proper divisors (4626912).

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

2791968 is a wasteful number, since it uses less digits than its factorization.

2791968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 2791968 is about 1670.9183103910. The cubic root of 2791968 is about 140.8110743700.

The spelling of 2791968 in words is "two million, seven hundred ninety-one thousand, nine hundred sixty-eight".