2042422525200 has 240 divisors, whose sum is σ = 6610660140672. Its totient is φ = 538982400000.

The previous prime is 2042422525151. The next prime is 2042422525217. The reversal of 2042422525200 is 25252242402.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386746560 + ... + 386751840.

Almost surely, 2^{2042422525200} is an apocalyptic number.

2042422525200 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 2042422525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305330070336).

2042422525200 is an abundant number, since it is smaller than the sum of its proper divisors (4568237615472).

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

2042422525200 is a wasteful number, since it uses less digits than its factorization.

2042422525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8594 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 2042422525200 its reverse (25252242402), we get a palindrome (2067674767602).

The spelling of 2042422525200 in words is "two trillion, forty-two billion, four hundred twenty-two million, five hundred twenty-five thousand, two hundred".