2681650773120 has 256 divisors, whose sum is σ = 9344014433280. Its totient is φ = 648759767040.

The previous prime is 2681650773101. The next prime is 2681650773149. The reversal of 2681650773120 is 213770561862.

2681650773120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2681650773120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10155079 + ... + 10415801.

It is an arithmetic number, because the mean of its divisors is an integer number (36500056380).

Almost surely, 2^{2681650773120} is an apocalyptic number.

2681650773120 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 2681650773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672007216640).

2681650773120 is an abundant number, since it is smaller than the sum of its proper divisors (6662363660160).

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

2681650773120 is a wasteful number, since it uses less digits than its factorization.

2681650773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261243 (or 261231 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 2681650773120 in words is "two trillion, six hundred eighty-one billion, six hundred fifty million, seven hundred seventy-three thousand, one hundred twenty".