2668170120 has 256 divisors, whose sum is σ = 10224506880. Its totient is φ = 540825600.

The previous prime is 2668170103. The next prime is 2668170121. The reversal of 2668170120 is 210718662.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2668170121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 375319 + ... + 382361.

It is an arithmetic number, because the mean of its divisors is an integer number (39939480).

Almost surely, 2^2668170120 is an apocalyptic number.

2668170120 is a gapful number since it is divisible by the number (20) 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 2668170120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112253440).

2668170120 is an abundant number, since it is smaller than the sum of its proper divisors (7556336760).

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

2668170120 is a wasteful number, since it uses less digits than its factorization.

2668170120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2668170120 is about 51654.3330225064. Note that the first 3 decimals coincide. The cubic root of 2668170120 is about 1386.9831088197.

Adding to 2668170120 its reverse (210718662), we get a palindrome (2878888782).

The spelling of 2668170120 in words is "two billion, six hundred sixty-eight million, one hundred seventy thousand, one hundred twenty".