2400220442200 has 48 divisors (see below), whose sum is σ = 6377728607280. Its totient is φ = 822932722560.

The previous prime is 2400220442189. The next prime is 2400220442203. The reversal of 2400220442200 is 22440220042.

It is a happy number.

It is a super-2 number, since 2×2400220442200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400220442203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 857220187 + ... + 857222986.

It is an arithmetic number, because the mean of its divisors is an integer number (132869345985).

Almost surely, 2^{2400220442200} is an apocalyptic number.

2400220442200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400220442200 is an abundant number, since it is smaller than the sum of its proper divisors (3977508165080).

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

2400220442200 is a wasteful number, since it uses less digits than its factorization.

2400220442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714443196 (or 1714443187 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2400220442200 its reverse (22440220042), we get a palindrome (2422660662242).

The spelling of 2400220442200 in words is "two trillion, four hundred billion, two hundred twenty million, four hundred forty-two thousand, two hundred".