2942232422400 has 2304 divisors, whose sum is σ = 12059003174400. Its totient is φ = 700710912000.

The previous prime is 2942232422357. The next prime is 2942232422401. The reversal of 2942232422400 is 42242322492.

2942232422400 is a `hidden beast` number, since 2 + 9 + 4 + 2 + 2 + 3 + 242 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2942232422401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48233318370 + ... + 48233318430.

It is an arithmetic number, because the mean of its divisors is an integer number (5233942350).

Almost surely, 2^{2942232422400} is an apocalyptic number.

2942232422400 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 2942232422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029501587200).

2942232422400 is an abundant number, since it is smaller than the sum of its proper divisors (9116770752000).

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

2942232422400 is a wasteful number, since it uses less digits than its factorization.

2942232422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 2942232422400 its reverse (42242322492), we get a palindrome (2984474744892).

The spelling of 2942232422400 in words is "two trillion, nine hundred forty-two billion, two hundred thirty-two million, four hundred twenty-two thousand, four hundred".