2442012421400 has 48 divisors (see below), whose sum is σ = 5678864208000. Its totient is φ = 976601041280.

The previous prime is 2442012421379. The next prime is 2442012421421. The reversal of 2442012421400 is 41242102442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2442012421379) and next prime (2442012421421).

It is a self number, because there is not a number n which added to its sum of digits gives 2442012421400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312347 + ... + 2231946.

It is an arithmetic number, because the mean of its divisors is an integer number (118309671000).

Almost surely, 2^{2442012421400} is an apocalyptic number.

2442012421400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442012421400 is an abundant number, since it is smaller than the sum of its proper divisors (3236851786600).

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

2442012421400 is a wasteful number, since it uses less digits than its factorization.

2442012421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549108 (or 2549099 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 2442012421400 its reverse (41242102442), we get a palindrome (2483254523842).

The spelling of 2442012421400 in words is "two trillion, four hundred forty-two billion, twelve million, four hundred twenty-one thousand, four hundred".