2442042042400 has 36 divisors (see below), whose sum is σ = 5961635137962. Its totient is φ = 976816816640.

The previous prime is 2442042042371. The next prime is 2442042042421. The reversal of 2442042042400 is 42402402442.

It can be written as a sum of positive squares in 3 ways, for example, as 2322295592464 + 119746449936 = 1523908^2 + 346044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1526275477 + ... + 1526277076.

Almost surely, 2^{2442042042400} is an apocalyptic number.

2442042042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442042042400 is an abundant number, since it is smaller than the sum of its proper divisors (3519593095562).

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

2442042042400 is a wasteful number, since it uses less digits than its factorization.

2442042042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052552573 (or 3052552560 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2442042042400 its reverse (42402402442), we get a palindrome (2484444444842).

The spelling of 2442042042400 in words is "two trillion, four hundred forty-two billion, forty-two million, forty-two thousand, four hundred".