2680753121280 has 768 divisors, whose sum is σ = 10431344851200. Its totient is φ = 649006940160.

The previous prime is 2680753121261. The next prime is 2680753121329. The reversal of 2680753121280 is 821213570862.

2680753121280 is a `hidden beast` number, since 26 + 8 + 0 + 7 + 531 + 2 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219242527 + ... + 219254753.

It is an arithmetic number, because the mean of its divisors is an integer number (13582480275).

Almost surely, 2^{2680753121280} is an apocalyptic number.

2680753121280 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 2680753121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215672425600).

2680753121280 is an abundant number, since it is smaller than the sum of its proper divisors (7750591729920).

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

2680753121280 is a wasteful number, since it uses less digits than its factorization.

2680753121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12337 (or 12311 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2680753121280 in words is "two trillion, six hundred eighty billion, seven hundred fifty-three million, one hundred twenty-one thousand, two hundred eighty".