2034512000 has 64 divisors (see below), whose sum is σ = 5058345240. Its totient is φ = 813798400.

The previous prime is 2034511993. The next prime is 2034512021. The reversal of 2034512000 is 2154302.

It can be written as a sum of positive squares in 4 ways, for example, as 419758144 + 1614753856 = 20488^2 + 40184^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2034512000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47579 + ... + 79578.

Almost surely, 2^2034512000 is an apocalyptic number.

2034512000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034512000 is an abundant number, since it is smaller than the sum of its proper divisors (3023833240).

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

2034512000 is an equidigital number, since it uses as much as digits as its factorization.

2034512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127186 (or 127164 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2034512000 is about 45105.5650668518. The cubic root of 2034512000 is about 1267.1268257325.

Adding to 2034512000 its reverse (2154302), we get a palindrome (2036666302).

The spelling of 2034512000 in words is "two billion, thirty-four million, five hundred twelve thousand".