2682709269120 has 1024 divisors, whose sum is σ = 10117094400000. Its totient is φ = 678824644608.

The previous prime is 2682709269101. The next prime is 2682709269157. The reversal of 2682709269120 is 219629072862.

2682709269120 is a `hidden beast` number, since 268 + 270 + 9 + 2 + 6 + 91 + 20 = 666.

2682709269120 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 (54).

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, 5376170631 + ... + 5376171129.

It is an arithmetic number, because the mean of its divisors is an integer number (9879975000).

Almost surely, 2^{2682709269120} is an apocalyptic number.

2682709269120 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 2682709269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5058547200000).

2682709269120 is an abundant number, since it is smaller than the sum of its proper divisors (7434385130880).

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

2682709269120 is an equidigital number, since it uses as much as digits as its factorization.

2682709269120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2682709269120 in words is "two trillion, six hundred eighty-two billion, seven hundred nine million, two hundred sixty-nine thousand, one hundred twenty".