2034115200 has 384 divisors, whose sum is σ = 8021361600. Its totient is φ = 500428800.

The previous prime is 2034115199. The next prime is 2034115217. The reversal of 2034115200 is 25114302.

2034115200 is a `hidden beast` number, since 203 + 411 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122295 + ... + 1124105.

Almost surely, 2^2034115200 is an apocalyptic number.

2034115200 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 2034115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010680800).

2034115200 is an abundant number, since it is smaller than the sum of its proper divisors (5987246400).

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

2034115200 is a wasteful number, since it uses less digits than its factorization.

2034115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2034115200 is about 45101.1662820375. The cubic root of 2034115200 is about 1267.0444425671.

Adding to 2034115200 its reverse (25114302), we get a palindrome (2059229502).

The spelling of 2034115200 in words is "two billion, thirty-four million, one hundred fifteen thousand, two hundred".