2034133432200 has 72 divisors (see below), whose sum is σ = 6831298115850. Its totient is φ = 542435581440.

The previous prime is 2034133432193. The next prime is 2034133432223. The reversal of 2034133432200 is 22343314302.

2034133432200 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 1 + 334 + 322 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1769256457956 + 264876974244 = 1330134^2 + 514662^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 565035265 + ... + 565038864.

Almost surely, 2^{2034133432200} is an apocalyptic number.

2034133432200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034133432200 is an abundant number, since it is smaller than the sum of its proper divisors (4797164683650).

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

2034133432200 is a wasteful number, since it uses less digits than its factorization.

2034133432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130074151 (or 1130074139 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2034133432200 its reverse (22343314302), we get a palindrome (2056476746502).

The spelling of 2034133432200 in words is "two trillion, thirty-four billion, one hundred thirty-three million, four hundred thirty-two thousand, two hundred".