2040144000 has 256 divisors, whose sum is σ = 7122211200. Its totient is φ = 515174400.

The previous prime is 2040143971. The next prime is 2040144031. The reversal of 2040144000 is 4410402.

2040144000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910882 + ... + 913118.

Almost surely, 2^2040144000 is an apocalyptic number.

2040144000 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 2040144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561105600).

2040144000 is an abundant number, since it is smaller than the sum of its proper divisors (5082067200).

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

2040144000 is a wasteful number, since it uses less digits than its factorization.

2040144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2040144000 is about 45167.9532412085. The cubic root of 2040144000 is about 1268.2949819076.

Adding to 2040144000 its reverse (4410402), we get a palindrome (2044554402).

The spelling of 2040144000 in words is "two billion, forty million, one hundred forty-four thousand".