2024220042400 has 108 divisors (see below), whose sum is σ = 5249410785738. Its totient is φ = 762059223040.

The previous prime is 2024220042391. The next prime is 2024220042407. The reversal of 2024220042400 is 42400224202.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 784195260304 + 1240024782096 = 885548^2 + 1113564^2 .

It is not an unprimeable number, because it can be changed into a prime (2024220042407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4146439 + ... + 4608838.

Almost surely, 2^{2024220042400} is an apocalyptic number.

2024220042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024220042400 is an abundant number, since it is smaller than the sum of its proper divisors (3225190743338).

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

2024220042400 is a wasteful number, since it uses less digits than its factorization.

2024220042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8755331 (or 8755301 counting only the distinct ones).

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

Adding to 2024220042400 its reverse (42400224202), we get a palindrome (2066620266602).

The spelling of 2024220042400 in words is "two trillion, twenty-four billion, two hundred twenty million, forty-two thousand, four hundred".