2005142200 has 192 divisors, whose sum is σ = 5106816000. Its totient is φ = 729699840.

The previous prime is 2005142177. The next prime is 2005142207. The reversal of 2005142200 is 22415002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005142207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18395746 + ... + 18395854.

It is an arithmetic number, because the mean of its divisors is an integer number (26598000).

Almost surely, 2^2005142200 is an apocalyptic number.

2005142200 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 2005142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553408000).

2005142200 is an abundant number, since it is smaller than the sum of its proper divisors (3101673800).

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

2005142200 is a wasteful number, since it uses less digits than its factorization.

2005142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2005142200 is about 44778.8141870684. The cubic root of 2005142200 is about 1260.9999201319. Note that the first 4 decimals are identical.

Adding to 2005142200 its reverse (22415002), we get a palindrome (2027557202).

The spelling of 2005142200 in words is "two billion, five million, one hundred forty-two thousand, two hundred".