2506818175680 has 896 divisors, whose sum is σ = 10341644544000. Its totient is φ = 499606880256.

The previous prime is 2506818175633. The next prime is 2506818175703. The reversal of 2506818175680 is 865718186052.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 2506818175680.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 619118296 + ... + 619122344.

It is an arithmetic number, because the mean of its divisors is an integer number (11542014000).

Almost surely, 2^{2506818175680} is an apocalyptic number.

2506818175680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506818175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170822272000).

2506818175680 is an abundant number, since it is smaller than the sum of its proper divisors (7834826368320).

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

2506818175680 is a wasteful number, since it uses less digits than its factorization.

2506818175680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481 (or 4471 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 57.

The spelling of 2506818175680 in words is "two trillion, five hundred six billion, eight hundred eighteen million, one hundred seventy-five thousand, six hundred eighty".