2034405200 has 120 divisors (see below), whose sum is σ = 5126296896. Its totient is φ = 774400000.

The previous prime is 2034405193. The next prime is 2034405209. The reversal of 2034405200 is 25044302.

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 (2034405209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2308760 + ... + 2309640.

Almost surely, 2^2034405200 is an apocalyptic number.

2034405200 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 2034405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563148448).

2034405200 is an abundant number, since it is smaller than the sum of its proper divisors (3091891696).

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

2034405200 is a wasteful number, since it uses less digits than its factorization.

2034405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2034405200 is about 45104.3811619226. The cubic root of 2034405200 is about 1267.1046530914.

Adding to 2034405200 its reverse (25044302), we get a palindrome (2059449502).

The spelling of 2034405200 in words is "two billion, thirty-four million, four hundred five thousand, two hundred".