2009318400 has 792 divisors, whose sum is σ = 8315405280. Its totient is φ = 477757440.

The previous prime is 2009318393. The next prime is 2009318429. The reversal of 2009318400 is 48139002.

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

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 71 ways as a sum of consecutive naturals, for example, 105753591 + ... + 105753609.

Almost surely, 2^2009318400 is an apocalyptic number.

2009318400 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 2009318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157702640).

2009318400 is an abundant number, since it is smaller than the sum of its proper divisors (6306086880).

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

2009318400 is a wasteful number, since it uses less digits than its factorization.

2009318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

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

The square root of 2009318400 is about 44825.4213588673. The cubic root of 2009318400 is about 1261.8747601721.

The spelling of 2009318400 in words is "two billion, nine million, three hundred eighteen thousand, four hundred".