2542681728288 has 576 divisors, whose sum is σ = 8285812254720. Its totient is φ = 762077611008.

The previous prime is 2542681728263. The next prime is 2542681728289. The reversal of 2542681728288 is 8828271862452.

2542681728288 is a `hidden beast` number, since 2 + 5 + 4 + 268 + 17 + 282 + 88 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2542681728289) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2447238873 + ... + 2447239911.

It is an arithmetic number, because the mean of its divisors is an integer number (14385090720).

Almost surely, 2^{2542681728288} 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 2542681728288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142906127360).

2542681728288 is an abundant number, since it is smaller than the sum of its proper divisors (5743130526432).

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

2542681728288 is a wasteful number, since it uses less digits than its factorization.

2542681728288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1663 counting only the distinct ones).

The product of its digits is 55050240, while the sum is 63.

The spelling of 2542681728288 in words is "two trillion, five hundred forty-two billion, six hundred eighty-one million, seven hundred twenty-eight thousand, two hundred eighty-eight".