2666864800 has 144 divisors (see below), whose sum is σ = 6942915000. Its totient is φ = 996802560.

The previous prime is 2666864791. The next prime is 2666864801. The reversal of 2666864800 is 84686662.

It can be written as a sum of positive squares in 12 ways, for example, as 158457744 + 2508407056 = 12588^2 + 50084^2 .

It is a super-2 number, since 2×2666864800² = 14224335722958080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2666864801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2134576 + ... + 2135824.

Almost surely, 2^2666864800 is an apocalyptic number.

2666864800 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 2666864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471457500).

2666864800 is an abundant number, since it is smaller than the sum of its proper divisors (4276050200).

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

2666864800 is a wasteful number, since it uses less digits than its factorization.

2666864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The square root of 2666864800 is about 51641.6963315498. The cubic root of 2666864800 is about 1386.7568923458.

The spelling of 2666864800 in words is "two billion, six hundred sixty-six million, eight hundred sixty-four thousand, eight hundred".