2682720000 has 630 divisors, whose sum is σ = 10468955112. Its totient is φ = 684288000.

The previous prime is 2682719993. The next prime is 2682720011. The reversal of 2682720000 is 272862.

2682720000 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 116639989 + ... + 116640011.

Almost surely, 2^2682720000 is an apocalyptic number.

2682720000 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 2682720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234477556).

2682720000 is an abundant number, since it is smaller than the sum of its proper divisors (7786235112).

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

2682720000 is an frugal number, since it uses more digits than its factorization.

2682720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2682720000 is about 51794.9804517774. The cubic root of 2682720000 is about 1389.4996732851.

Adding to 2682720000 its reverse (272862), we get a palindrome (2682992862).

The spelling of 2682720000 in words is "two billion, six hundred eighty-two million, seven hundred twenty thousand".