2542430550400 has 192 divisors, whose sum is σ = 6946528362480. Its totient is φ = 913371586560.

The previous prime is 2542430550397. The next prime is 2542430550419. The reversal of 2542430550400 is 40550342452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713307 + ... + 2365093.

Almost surely, 2^{2542430550400} is an apocalyptic number.

2542430550400 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 2542430550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473264181240).

2542430550400 is an abundant number, since it is smaller than the sum of its proper divisors (4404097812080).

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

2542430550400 is a wasteful number, since it uses less digits than its factorization.

2542430550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651861 (or 1651844 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

Adding to 2542430550400 its reverse (40550342452), we get a palindrome (2582980892852).

The spelling of 2542430550400 in words is "two trillion, five hundred forty-two billion, four hundred thirty million, five hundred fifty thousand, four hundred".