2668528800 has 864 divisors, whose sum is σ = 11670003072. Its totient is φ = 582266880.

The previous prime is 2668528799. The next prime is 2668528813. The reversal of 2668528800 is 88258662.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 50349574 + ... + 50349626.

It is an arithmetic number, because the mean of its divisors is an integer number (13506948).

Almost surely, 2^2668528800 is an apocalyptic number.

2668528800 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 2668528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835001536).

2668528800 is an abundant number, since it is smaller than the sum of its proper divisors (9001474272).

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

2668528800 is a wasteful number, since it uses less digits than its factorization.

2668528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2668528800 is about 51657.8048314096. The cubic root of 2668528800 is about 1387.0452563826.

The spelling of 2668528800 in words is "two billion, six hundred sixty-eight million, five hundred twenty-eight thousand, eight hundred".