2242440200 has 384 divisors, whose sum is σ = 7319531520. Its totient is φ = 615859200.

The previous prime is 2242440191. The next prime is 2242440227. The reversal of 2242440200 is 20442422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4604357 + ... + 4604843.

It is an arithmetic number, because the mean of its divisors is an integer number (19061280).

Almost surely, 2^2242440200 is an apocalyptic number.

2242440200 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 2242440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659765760).

2242440200 is an abundant number, since it is smaller than the sum of its proper divisors (5077091320).

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

2242440200 is a wasteful number, since it uses less digits than its factorization.

2242440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2242440200 is about 47354.4105654373. The cubic root of 2242440200 is about 1308.9014740325.

Adding to 2242440200 its reverse (20442422), we get a palindrome (2262882622).

It can be divided in two parts, 2 and 242440200, that multiplied together give a square (484880400 = 22020²).

The spelling of 2242440200 in words is "two billion, two hundred forty-two million, four hundred forty thousand, two hundred".