2668199160 has 128 divisors (see below), whose sum is σ = 8786568960. Its totient is φ = 642816000.

The previous prime is 2668199159. The next prime is 2668199161. The reversal of 2668199160 is 619918662.

It is an interprime number because it is at equal distance from previous prime (2668199159) and next prime (2668199161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668199161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208960 + ... + 221360.

It is an arithmetic number, because the mean of its divisors is an integer number (68645070).

Almost surely, 2^2668199160 is an apocalyptic number.

2668199160 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 2668199160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393284480).

2668199160 is an abundant number, since it is smaller than the sum of its proper divisors (6118369800).

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

2668199160 is a wasteful number, since it uses less digits than its factorization.

2668199160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12589 (or 12585 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 2668199160 is about 51654.6141211025. The cubic root of 2668199160 is about 1386.9881407131.

It can be divided in two parts, 26 and 68199160, that added together give a palindrome (68199186).

The spelling of 2668199160 in words is "two billion, six hundred sixty-eight million, one hundred ninety-nine thousand, one hundred sixty".