2501200075842 has 320 divisors, whose sum is σ = 6442164368640. Its totient is φ = 718524297216.

The previous prime is 2501200075819. The next prime is 2501200075849. The reversal of 2501200075842 is 2485700021052.

It is a happy number.

2501200075842 is a `hidden beast` number, since 2 + 50 + 1 + 20 + 0 + 0 + 7 + 584 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2501200075797 and 2501200075806.

It is not an unprimeable number, because it can be changed into a prime (2501200075849) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 3662078833 + ... + 3662079515.

It is an arithmetic number, because the mean of its divisors is an integer number (20131763652).

Almost surely, 2^{2501200075842} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2501200075842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221082184320).

2501200075842 is an abundant number, since it is smaller than the sum of its proper divisors (3940964292798).

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

2501200075842 is a wasteful number, since it uses less digits than its factorization.

2501200075842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Adding to 2501200075842 its reverse (2485700021052), we get a palindrome (4986900096894).

The spelling of 2501200075842 in words is "two trillion, five hundred one billion, two hundred million, seventy-five thousand, eight hundred forty-two".