2668672320 has 224 divisors, whose sum is σ = 8661489408. Its totient is φ = 696041472.

The previous prime is 2668672301. The next prime is 2668672367. The reversal of 2668672320 is 232768662.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 13546462 + ... + 13546658.

Almost surely, 2^2668672320 is an apocalyptic number.

2668672320 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 2668672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330744704).

2668672320 is an abundant number, since it is smaller than the sum of its proper divisors (5992817088).

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

2668672320 is a wasteful number, since it uses less digits than its factorization.

2668672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 2668672320 is about 51659.1939542227. The cubic root of 2668672320 is about 1387.0701221646.

The spelling of 2668672320 in words is "two billion, six hundred sixty-eight million, six hundred seventy-two thousand, three hundred twenty".