2042034242400 has 216 divisors, whose sum is σ = 7204033287360. Its totient is φ = 544292152320.

The previous prime is 2042034242377. The next prime is 2042034242473. The reversal of 2042034242400 is 42424302402.

2042034242400 is a `hidden beast` number, since 204 + 2 + 0 + 34 + 2 + 424 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15869521 + ... + 15997679.

It is an arithmetic number, because the mean of its divisors is an integer number (33352005960).

Almost surely, 2^{2042034242400} is an apocalyptic number.

2042034242400 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 2042034242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602016643680).

2042034242400 is an abundant number, since it is smaller than the sum of its proper divisors (5161999044960).

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

2042034242400 is a wasteful number, since it uses less digits than its factorization.

2042034242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130398 (or 130382 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 2042034242400 its reverse (42424302402), we get a palindrome (2084458544802).

The spelling of 2042034242400 in words is "two trillion, forty-two billion, thirty-four million, two hundred forty-two thousand, four hundred".