2426146505250 has 256 divisors, whose sum is σ = 6693687576576. Its totient is φ = 581521248000.

The previous prime is 2426146505201. The next prime is 2426146505291. The reversal of 2426146505250 is 525056416242.

It is a happy number.

It is a Curzon number.

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 127 ways as a sum of consecutive naturals, for example, 138763009 + ... + 138780491.

It is an arithmetic number, because the mean of its divisors is an integer number (26147217096).

Almost surely, 2^{2426146505250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426146505250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346843788288).

2426146505250 is an abundant number, since it is smaller than the sum of its proper divisors (4267541071326).

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

2426146505250 is a wasteful number, since it uses less digits than its factorization.

2426146505250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17890 (or 17880 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 2426146505250 in words is "two trillion, four hundred twenty-six billion, one hundred forty-six million, five hundred five thousand, two hundred fifty".