2034001200 has 240 divisors, whose sum is σ = 8123694336. Its totient is φ = 422630400.

The previous prime is 2034001181. The next prime is 2034001201. The reversal of 2034001200 is 21004302.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2034001201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81394 + ... + 103406.

Almost surely, 2^2034001200 is an apocalyptic number.

2034001200 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 2034001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061847168).

2034001200 is an abundant number, since it is smaller than the sum of its proper divisors (6089693136).

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

2034001200 is a wasteful number, since it uses less digits than its factorization.

2034001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22052 (or 22041 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2034001200 is about 45099.9024389189. The cubic root of 2034001200 is about 1267.0207720354.

Adding to 2034001200 its reverse (21004302), we get a palindrome (2055005502).

The spelling of 2034001200 in words is "two billion, thirty-four million, one thousand, two hundred".