2109240000 has 840 divisors, whose sum is σ = 9242641408. Its totient is φ = 466560000.

The previous prime is 2109239987. The next prime is 2109240017. The reversal of 2109240000 is 429012.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68039985 + ... + 68040015.

Almost surely, 2^2109240000 is an apocalyptic number.

2109240000 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 2109240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621320704).

2109240000 is an abundant number, since it is smaller than the sum of its proper divisors (7133401408).

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

2109240000 is an frugal number, since it uses more digits than its factorization.

2109240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2109240000 is about 45926.4629598231. The cubic root of 2109240000 is about 1282.4545998087.

Adding to 2109240000 its reverse (429012), we get a palindrome (2109669012).

The spelling of 2109240000 in words is "two billion, one hundred nine million, two hundred forty thousand".