2040413144 has 64 divisors (see below), whose sum is σ = 4783968000. Its totient is φ = 792604800.

The previous prime is 2040413101. The next prime is 2040413147. The reversal of 2040413144 is 4413140402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040413147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210239 + ... + 219729.

It is an arithmetic number, because the mean of its divisors is an integer number (74749500).

Almost surely, 2^2040413144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391984000).

2040413144 is an abundant number, since it is smaller than the sum of its proper divisors (2743554856).

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

2040413144 is a wasteful number, since it uses less digits than its factorization.

2040413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9864 (or 9860 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2040413144 is about 45170.9325119595. The cubic root of 2040413144 is about 1268.3507523132.

Adding to 2040413144 its reverse (4413140402), we get a palindrome (6453553546).

The spelling of 2040413144 in words is "two billion, forty million, four hundred thirteen thousand, one hundred forty-four".