2135995200 has 504 divisors, whose sum is σ = 8246282720. Its totient is φ = 522547200.

The previous prime is 2135995159. The next prime is 2135995207. The reversal of 2135995200 is 25995312.

It is a happy number.

2135995200 is a `hidden beast` number, since 2 + 13 + 599 + 52 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135995207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10123095 + ... + 10123305.

Almost surely, 2^2135995200 is an apocalyptic number.

2135995200 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 2135995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123141360).

2135995200 is an abundant number, since it is smaller than the sum of its proper divisors (6110287520).

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

2135995200 is a wasteful number, since it uses less digits than its factorization.

2135995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 2135995200 is about 46216.8281040575. The cubic root of 2135995200 is about 1287.8543744414.

The spelling of 2135995200 in words is "two billion, one hundred thirty-five million, nine hundred ninety-five thousand, two hundred".