2042242442400 has 72 divisors (see below), whose sum is σ = 6647499157824. Its totient is φ = 544597984000.

The previous prime is 2042242442399. The next prime is 2042242442509. The reversal of 2042242442400 is 42442422402.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425464776 + ... + 425469575.

It is an arithmetic number, because the mean of its divisors is an integer number (92326377192).

Almost surely, 2^{2042242442400} is an apocalyptic number.

2042242442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042242442400 is an abundant number, since it is smaller than the sum of its proper divisors (4605256715424).

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

2042242442400 is a wasteful number, since it uses less digits than its factorization.

2042242442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850934374 (or 850934361 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 2042242442400 its reverse (42442422402), we get a palindrome (2084684864802).

The spelling of 2042242442400 in words is "two trillion, forty-two billion, two hundred forty-two million, four hundred forty-two thousand, four hundred".