2009318400000 has 2016 divisors, whose sum is σ = 8385511417920. Its totient is φ = 477757440000.

The previous prime is 2009318399989. The next prime is 2009318400043. The reversal of 2009318400000 is 48139002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105753599991 + ... + 105753600009.

It is an arithmetic number, because the mean of its divisors is an integer number (4159479870).

Almost surely, 2^{2009318400000} is an apocalyptic number.

2009318400000 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 2009318400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192755708960).

2009318400000 is an abundant number, since it is smaller than the sum of its proper divisors (6376193017920).

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

2009318400000 is an frugal number, since it uses more digits than its factorization.

2009318400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 2009318400000 in words is "two trillion, nine billion, three hundred eighteen million, four hundred thousand".