2135311200 has 864 divisors, whose sum is σ = 9143164800. Its totient is φ = 479001600.

The previous prime is 2135311183. The next prime is 2135311207. The reversal of 2135311200 is 21135312.

2135311200 is a `hidden beast` number, since 2 + 13 + 531 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135311207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49658379 + ... + 49658421.

Almost surely, 2^2135311200 is an apocalyptic number.

2135311200 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 2135311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571582400).

2135311200 is an abundant number, since it is smaller than the sum of its proper divisors (7007853600).

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

2135311200 is a wasteful number, since it uses less digits than its factorization.

2135311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2135311200 is about 46209.4276095257. The cubic root of 2135311200 is about 1287.7168918545.

Adding to 2135311200 its reverse (21135312), we get a palindrome (2156446512).

The spelling of 2135311200 in words is "two billion, one hundred thirty-five million, three hundred eleven thousand, two hundred".