2042302032400 has 240 divisors, whose sum is σ = 5659451700480. Its totient is φ = 693766195200.

The previous prime is 2042302032371. The next prime is 2042302032401. The reversal of 2042302032400 is 42302032402.

It is not an unprimeable number, because it can be changed into a prime (2042302032401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157809930 + ... + 157822870.

It is an arithmetic number, because the mean of its divisors is an integer number (23581048752).

Almost surely, 2^{2042302032400} is an apocalyptic number.

2042302032400 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 2042302032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829725850240).

2042302032400 is an abundant number, since it is smaller than the sum of its proper divisors (3617149668080).

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

2042302032400 is a wasteful number, since it uses less digits than its factorization.

2042302032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13482 (or 13471 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 2042302032400 its reverse (42302032402), we get a palindrome (2084604064802).

The spelling of 2042302032400 in words is "two trillion, forty-two billion, three hundred two million, thirty-two thousand, four hundred".