2402531442400 has 144 divisors (see below), whose sum is σ = 6136881214464. Its totient is φ = 916722132480.

The previous prime is 2402531442299. The next prime is 2402531442511. The reversal of 2402531442400 is 42441352042.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6574909 + ... + 6930691.

It is an arithmetic number, because the mean of its divisors is an integer number (42617230656).

Almost surely, 2^{2402531442400} is an apocalyptic number.

2402531442400 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 2402531442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068440607232).

2402531442400 is an abundant number, since it is smaller than the sum of its proper divisors (3734349772064).

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

2402531442400 is a wasteful number, since it uses less digits than its factorization.

2402531442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356193 (or 356180 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 2402531442400 its reverse (42441352042), we get a palindrome (2444972794442).

The spelling of 2402531442400 in words is "two trillion, four hundred two billion, five hundred thirty-one million, four hundred forty-two thousand, four hundred".