2000144800 has 72 divisors (see below), whose sum is σ = 5040427392. Its totient is φ = 774240000.

The previous prime is 2000144771. The next prime is 2000144813. The reversal of 2000144800 is 84410002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15526 + ... + 65125.

It is an arithmetic number, because the mean of its divisors is an integer number (70005936).

Almost surely, 2^2000144800 is an apocalyptic number.

2000144800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000144800 is an abundant number, since it is smaller than the sum of its proper divisors (3040282592).

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

2000144800 is a wasteful number, since it uses less digits than its factorization.

2000144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80702 (or 80689 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2000144800 is about 44722.9784339102. The cubic root of 2000144800 is about 1259.9514552558.

Adding to 2000144800 its reverse (84410002), we get a palindrome (2084554802).

The spelling of 2000144800 in words is "two billion, one hundred forty-four thousand, eight hundred".