2027817968 has 80 divisors (see below), whose sum is σ = 4345436160. Its totient is φ = 909081600.

The previous prime is 2027817949. The next prime is 2027817983. The reversal of 2027817968 is 8697187202.

It is a super-2 number, since 2×2027817968² = 8224091422687298048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6017096 + ... + 6017432.

It is an arithmetic number, because the mean of its divisors is an integer number (54317952).

Almost surely, 2^2027817968 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 2027817968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172718080).

2027817968 is an abundant number, since it is smaller than the sum of its proper divisors (2317618192).

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

2027817968 is a wasteful number, since it uses less digits than its factorization.

2027817968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 50.

The square root of 2027817968 is about 45031.2998702014. The cubic root of 2027817968 is about 1265.7355818090.

The spelling of 2027817968 in words is "two billion, twenty-seven million, eight hundred seventeen thousand, nine hundred sixty-eight".