2022424240200 has 768 divisors, whose sum is σ = 7940731760640. Its totient is φ = 414346752000.

The previous prime is 2022424240153. The next prime is 2022424240223. The reversal of 2022424240200 is 20424242202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1961613685 + ... + 1961614715.

It is an arithmetic number, because the mean of its divisors is an integer number (10339494480).

Almost surely, 2^{2022424240200} is an apocalyptic number.

2022424240200 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 2022424240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970365880320).

2022424240200 is an abundant number, since it is smaller than the sum of its proper divisors (5918307520440).

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

2022424240200 is a wasteful number, since it uses less digits than its factorization.

2022424240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2022424240200 its reverse (20424242202), we get a palindrome (2042848482402).

The spelling of 2022424240200 in words is "two trillion, twenty-two billion, four hundred twenty-four million, two hundred forty thousand, two hundred".