2005404144 has 40 divisors (see below), whose sum is σ = 5320649040. Its totient is φ = 650400768.

The previous prime is 2005404113. The next prime is 2005404157. The reversal of 2005404144 is 4414045002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 562809 + ... + 566360.

It is an arithmetic number, because the mean of its divisors is an integer number (133016226).

Almost surely, 2^2005404144 is an apocalyptic number.

2005404144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2005404144 is an abundant number, since it is smaller than the sum of its proper divisors (3315244896).

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

2005404144 is a wasteful number, since it uses less digits than its factorization.

2005404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129217 (or 1129211 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2005404144 is about 44781.7389568561. The cubic root of 2005404144 is about 1261.0548284538.

Adding to 2005404144 its reverse (4414045002), we get a palindrome (6419449146).

The spelling of 2005404144 in words is "two billion, five million, four hundred four thousand, one hundred forty-four".