2135200000 has 216 divisors, whose sum is σ = 5676527304. Its totient is φ = 798720000.

The previous prime is 2135199973. The next prime is 2135200007. The reversal of 2135200000 is 25312.

It can be written as a sum of positive squares in 12 ways, for example, as 2121892096 + 13307904 = 46064^2 + 3648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135200007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13599922 + ... + 13600078.

It is an arithmetic number, because the mean of its divisors is an integer number (26280219).

Almost surely, 2^2135200000 is an apocalyptic number.

2135200000 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 2135200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838263652).

2135200000 is an abundant number, since it is smaller than the sum of its proper divisors (3541327304).

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

2135200000 is an frugal number, since it uses more digits than its factorization.

2135200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2135200000 is about 46208.2243761865. The cubic root of 2135200000 is about 1287.6945381099.

Adding to 2135200000 its reverse (25312), we get a palindrome (2135225312).

The spelling of 2135200000 in words is "two billion, one hundred thirty-five million, two hundred thousand".