2688444000 has 768 divisors, whose sum is σ = 11170897920. Its totient is φ = 622080000.

The previous prime is 2688443999. The next prime is 2688444029. The reversal of 2688444000 is 4448862.

It is a super-2 number, since 2×2688444000² = 14455462282272000000, which contains 22 as substring.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 36827964 + ... + 36828036.

It is an arithmetic number, because the mean of its divisors is an integer number (14545440).

Almost surely, 2^2688444000 is an apocalyptic number.

2688444000 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 2688444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585448960).

2688444000 is an abundant number, since it is smaller than the sum of its proper divisors (8482453920).

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

2688444000 is a wasteful number, since it uses less digits than its factorization.

2688444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2688444000 is about 51850.2073284187. The cubic root of 2688444000 is about 1390.4872090886.

The spelling of 2688444000 in words is "two billion, six hundred eighty-eight million, four hundred forty-four thousand".