2686672212480 has 320 divisors, whose sum is σ = 9556076407680. Its totient is φ = 715485560832.

The previous prime is 2686672212479. The next prime is 2686672212481. The reversal of 2686672212480 is 842122766862.

2686672212480 is a `hidden beast` number, since 2 + 6 + 86 + 6 + 72 + 2 + 12 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2686672212479) and next prime (2686672212481).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (2686672212481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52298167 + ... + 52349513.

It is an arithmetic number, because the mean of its divisors is an integer number (29862738774).

Almost surely, 2^{2686672212480} is an apocalyptic number.

2686672212480 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 2686672212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778038203840).

2686672212480 is an abundant number, since it is smaller than the sum of its proper divisors (6869404195200).

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

2686672212480 is an equidigital number, since it uses as much as digits as its factorization.

2686672212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52136 (or 52114 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2686672212480 in words is "two trillion, six hundred eighty-six billion, six hundred seventy-two million, two hundred twelve thousand, four hundred eighty".