2817968348 has 48 divisors (see below), whose sum is σ = 5677963200. Its totient is φ = 1212171264.

The previous prime is 2817968347. The next prime is 2817968369. The reversal of 2817968348 is 8438697182.

It is a super-2 number, since 2×2817968348² = 15881891220659698208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2817968293 and 2817968302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2817968341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75578 + ... + 106526.

It is an arithmetic number, because the mean of its divisors is an integer number (118290900).

Almost surely, 2^2817968348 is an apocalyptic number.

It is an amenable number.

2817968348 is an abundant number, since it is smaller than the sum of its proper divisors (2859994852).

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

2817968348 is a wasteful number, since it uses less digits than its factorization.

2817968348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31086 (or 31084 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 56.

The square root of 2817968348 is about 53084.5396325522. The cubic root of 2817968348 is about 1412.4682799466.

The spelling of 2817968348 in words is "two billion, eight hundred seventeen million, nine hundred sixty-eight thousand, three hundred forty-eight".