2135205200 has 30 divisors (see below), whose sum is σ = 5129831454. Its totient is φ = 854081920.

The previous prime is 2135205187. The next prime is 2135205203. The reversal of 2135205200 is 25025312.

It can be written as a sum of positive squares in 3 ways, for example, as 598878784 + 1536326416 = 24472^2 + 39196^2 .

It is a super-2 number, since 2×2135205200² = 9118202492214080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135205203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2668607 + ... + 2669406.

Almost surely, 2^2135205200 is an apocalyptic number.

2135205200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135205200 is an abundant number, since it is smaller than the sum of its proper divisors (2994626254).

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

2135205200 is a wasteful number, since it uses less digits than its factorization.

2135205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338031 (or 5338020 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2135205200 is about 46208.2806431921. The cubic root of 2135205200 is about 1287.6955834462.

The spelling of 2135205200 in words is "two billion, one hundred thirty-five million, two hundred five thousand, two hundred".