2666928000 has 256 divisors, whose sum is σ = 9646490880. Its totient is φ = 646400000.

The previous prime is 2666927969. The next prime is 2666928001. The reversal of 2666928000 is 8296662.

2666928000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2666928000² = 14225009914368000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2666928000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666928001) 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, 525475 + ... + 530525.

It is an arithmetic number, because the mean of its divisors is an integer number (37681605).

Almost surely, 2^2666928000 is an apocalyptic number.

2666928000 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 2666928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823245440).

2666928000 is an abundant number, since it is smaller than the sum of its proper divisors (6979562880).

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

2666928000 is a wasteful number, since it uses less digits than its factorization.

2666928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2666928000 is about 51642.3082365612. The cubic root of 2666928000 is about 1386.7678468248.

The spelling of 2666928000 in words is "two billion, six hundred sixty-six million, nine hundred twenty-eight thousand".