2440023002200 has 144 divisors (see below), whose sum is σ = 6601077035280. Its totient is φ = 836349776640.

The previous prime is 2440023002159. The next prime is 2440023002213. The reversal of 2440023002200 is 22003200442.

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 35 ways as a sum of consecutive naturals, for example, 37825174 + ... + 37889626.

It is an arithmetic number, because the mean of its divisors is an integer number (45840812745).

Almost surely, 2^{2440023002200} is an apocalyptic number.

2440023002200 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 2440023002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300538517640).

2440023002200 is an abundant number, since it is smaller than the sum of its proper divisors (4161054033080).

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

2440023002200 is a wasteful number, since it uses less digits than its factorization.

2440023002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68346 (or 68330 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 2440023002200 its reverse (22003200442), we get a palindrome (2462026202642).

The spelling of 2440023002200 in words is "two trillion, four hundred forty billion, twenty-three million, two thousand, two hundred".