2668576000 has 144 divisors (see below), whose sum is σ = 6729624720. Its totient is φ = 1054310400.

The previous prime is 2668575991. The next prime is 2668576019. The reversal of 2668576000 is 6758662.

It can be written as a sum of positive squares in 8 ways, for example, as 2004173824 + 664402176 = 44768^2 + 25776^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2847532 + ... + 2848468.

It is an arithmetic number, because the mean of its divisors is an integer number (46733505).

Almost surely, 2^2668576000 is an apocalyptic number.

2668576000 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 2668576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364812360).

2668576000 is an abundant number, since it is smaller than the sum of its proper divisors (4061048720).

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

2668576000 is an frugal number, since it uses more digits than its factorization.

2668576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 2668576000 is about 51658.2616819420. The cubic root of 2668576000 is about 1387.0534341908.

The spelling of 2668576000 in words is "two billion, six hundred sixty-eight million, five hundred seventy-six thousand".