2669328000 has 512 divisors, whose sum is σ = 10158220800. Its totient is φ = 688435200.

The previous prime is 2669327971. The next prime is 2669328007. The reversal of 2669328000 is 8239662.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2669328007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15983917 + ... + 15984083.

It is an arithmetic number, because the mean of its divisors is an integer number (19840275).

Almost surely, 2^2669328000 is an apocalyptic number.

2669328000 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 2669328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079110400).

2669328000 is an abundant number, since it is smaller than the sum of its proper divisors (7488892800).

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

2669328000 is a wasteful number, since it uses less digits than its factorization.

2669328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2669328000 is about 51665.5397726570. The cubic root of 2669328000 is about 1387.1837116896.

The spelling of 2669328000 in words is "two billion, six hundred sixty-nine million, three hundred twenty-eight thousand".