2042240200 has 288 divisors, whose sum is σ = 6438962880. Its totient is φ = 581760000.

The previous prime is 2042240183. The next prime is 2042240257. The reversal of 2042240200 is 20422402.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20220150 + ... + 20220250.

It is an arithmetic number, because the mean of its divisors is an integer number (22357510).

Almost surely, 2^2042240200 is an apocalyptic number.

2042240200 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 2042240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219481440).

2042240200 is an abundant number, since it is smaller than the sum of its proper divisors (4396722680).

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

2042240200 is a wasteful number, since it uses less digits than its factorization.

2042240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2042240200 is about 45191.1517888181. The cubic root of 2042240200 is about 1268.7292143132.

Adding to 2042240200 its reverse (20422402), we get a palindrome (2062662602).

2042240200 divided by its reverse (20422402) gives a square (100 = 10²).

It can be divided in two parts, 2042 and 240200, that added together give a palindrome (242242).

The spelling of 2042240200 in words is "two billion, forty-two million, two hundred forty thousand, two hundred".