2442101200 has 360 divisors, whose sum is σ = 7635475584. Its totient is φ = 741888000.

The previous prime is 2442101183. The next prime is 2442101203. The reversal of 2442101200 is 21012442.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10133080 + ... + 10133320.

Almost surely, 2^2442101200 is an apocalyptic number.

2442101200 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 2442101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817737792).

2442101200 is an abundant number, since it is smaller than the sum of its proper divisors (5193374384).

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

2442101200 is a wasteful number, since it uses less digits than its factorization.

2442101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2442101200 is about 49417.6203393081. The cubic root of 2442101200 is about 1346.6494322969.

Adding to 2442101200 its reverse (21012442), we get a palindrome (2463113642).

The spelling of 2442101200 in words is "two billion, four hundred forty-two million, one hundred one thousand, two hundred".