2680511627160 has 192 divisors, whose sum is σ = 9042873540480. Its totient is φ = 688125496320.

The previous prime is 2680511627159. The next prime is 2680511627161. The reversal of 2680511627160 is 617261150862.

2680511627160 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 5 + 1 + 1 + 627 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2680511627159) and next prime (2680511627161).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680511627161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266427 + ... + 2330666.

It is an arithmetic number, because the mean of its divisors is an integer number (47098299690).

Almost surely, 2^{2680511627160} is an apocalyptic number.

2680511627160 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 2680511627160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521436770240).

2680511627160 is an abundant number, since it is smaller than the sum of its proper divisors (6362361913320).

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

2680511627160 is a wasteful number, since it uses less digits than its factorization.

2680511627160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597218 (or 2597211 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2680511627160 in words is "two trillion, six hundred eighty billion, five hundred eleven million, six hundred twenty-seven thousand, one hundred sixty".