2442002200 has 96 divisors (see below), whose sum is σ = 6235672320. Its totient is φ = 882000000.

The previous prime is 2442002197. The next prime is 2442002231. The reversal of 2442002200 is 22002442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328525 + ... + 335875.

It is an arithmetic number, because the mean of its divisors is an integer number (64954920).

Almost surely, 2^2442002200 is an apocalyptic number.

2442002200 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 2442002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117836160).

2442002200 is an abundant number, since it is smaller than the sum of its proper divisors (3793670120).

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

2442002200 is a wasteful number, since it uses less digits than its factorization.

2442002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7529 (or 7520 counting only the distinct ones).

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

The square root of 2442002200 is about 49416.6186621464. The cubic root of 2442002200 is about 1346.6312348399.

Adding to 2442002200 its reverse (22002442), we get a palindrome (2464004642).

The spelling of 2442002200 in words is "two billion, four hundred forty-two million, two thousand, two hundred".