2506189670712 has 256 divisors, whose sum is σ = 8579629363200. Its totient is φ = 660089088000.

The previous prime is 2506189670669. The next prime is 2506189670729. The reversal of 2506189670712 is 2170769816052.

2506189670712 is a `hidden beast` number, since 2 + 5 + 0 + 618 + 9 + 6 + 7 + 0 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 14676768 + ... + 14846544.

It is an arithmetic number, because the mean of its divisors is an integer number (33514177200).

Almost surely, 2^{2506189670712} 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 2506189670712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289814681600).

2506189670712 is an abundant number, since it is smaller than the sum of its proper divisors (6073439692488).

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

2506189670712 is a wasteful number, since it uses less digits than its factorization.

2506189670712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170563 (or 170553 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 2506189670712 in words is "two trillion, five hundred six billion, one hundred eighty-nine million, six hundred seventy thousand, seven hundred twelve".