2109140800 has 168 divisors, whose sum is σ = 5771075072. Its totient is φ = 753408000.

The previous prime is 2109140783. The next prime is 2109140801. The reversal of 2109140800 is 80419012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2109140801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643165 + ... + 646435.

Almost surely, 2^2109140800 is an apocalyptic number.

2109140800 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 2109140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885537536).

2109140800 is an abundant number, since it is smaller than the sum of its proper divisors (3661934272).

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

2109140800 is a wasteful number, since it uses less digits than its factorization.

2109140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 2109140800 is about 45925.3829597533. The cubic root of 2109140800 is about 1282.4344943851.

Adding to 2109140800 its reverse (80419012), we get a palindrome (2189559812).

The spelling of 2109140800 in words is "two billion, one hundred nine million, one hundred forty thousand, eight hundred".