2668893360 has 160 divisors (see below), whose sum is σ = 9686380032. Its totient is φ = 595138560.

The previous prime is 2668893329. The next prime is 2668893373. The reversal of 2668893360 is 633988662.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 49507 + ... + 88253.

Almost surely, 2^2668893360 is an apocalyptic number.

2668893360 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 2668893360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843190016).

2668893360 is an abundant number, since it is smaller than the sum of its proper divisors (7017486672).

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

2668893360 is a wasteful number, since it uses less digits than its factorization.

2668893360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38811 (or 38805 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The square root of 2668893360 is about 51661.3333161273. Note that the first 4 decimals coincide. The cubic root of 2668893360 is about 1387.1084170517.

The spelling of 2668893360 in words is "two billion, six hundred sixty-eight million, eight hundred ninety-three thousand, three hundred sixty".