2005812144 has 240 divisors, whose sum is σ = 6754924800. Its totient is φ = 543481344.

The previous prime is 2005812131. The next prime is 2005812163. The reversal of 2005812144 is 4412185002.

2005812144 is a `hidden beast` number, since 20 + 0 + 581 + 21 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1724107 + ... + 1725269.

It is an arithmetic number, because the mean of its divisors is an integer number (28145520).

Almost surely, 2^2005812144 is an apocalyptic number.

2005812144 is a gapful number since it is divisible by the number (24) 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 2005812144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377462400).

2005812144 is an abundant number, since it is smaller than the sum of its proper divisors (4749112656).

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

2005812144 is a wasteful number, since it uses less digits than its factorization.

2005812144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2005812144 is about 44786.2941534573. The cubic root of 2005812144 is about 1261.1403433002.

Adding to 2005812144 its reverse (4412185002), we get a palindrome (6417997146).

The spelling of 2005812144 in words is "two billion, five million, eight hundred twelve thousand, one hundred forty-four".