2542243713072 has 480 divisors, whose sum is σ = 8299898486784. Its totient is φ = 655924262400.

The previous prime is 2542243713067. The next prime is 2542243713089. The reversal of 2542243713072 is 2703173422452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251926747 + ... + 251936837.

Almost surely, 2^{2542243713072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542243713072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149949243392).

2542243713072 is an abundant number, since it is smaller than the sum of its proper divisors (5757654773712).

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

2542243713072 is a wasteful number, since it uses less digits than its factorization.

2542243713072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10245 (or 10220 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 2542243713072 in words is "two trillion, five hundred forty-two billion, two hundred forty-three million, seven hundred thirteen thousand, seventy-two".