2795968 has 42 divisors (see below), whose sum is σ = 6422136. Its totient is φ = 1183104.

The previous prime is 2795963. The next prime is 2795971. The reversal of 2795968 is 8695972.

It is a super-4 number, since 4×2795968⁴ (a number of 27 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2795963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35353 + ... + 35431.

It is an arithmetic number, because the mean of its divisors is an integer number (152908).

2^2795968 is an apocalyptic number.

2795968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211068).

2795968 is an abundant number, since it is smaller than the sum of its proper divisors (3626168).

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

2795968 is an frugal number, since it uses more digits than its factorization.

2795968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 88 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The square root of 2795968 is about 1672.1148285928. The cubic root of 2795968 is about 140.8782880735.

The spelling of 2795968 in words is "two million, seven hundred ninety-five thousand, nine hundred sixty-eight".