2680711200 has 360 divisors, whose sum is σ = 10024397460. Its totient is φ = 696729600.

The previous prime is 2680711171. The next prime is 2680711207. The reversal of 2680711200 is 21170862.

It can be written as a sum of positive squares in 6 ways, for example, as 180311184 + 2500400016 = 13428^2 + 50004^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2680711207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2656296 + ... + 2657304.

Almost surely, 2^2680711200 is an apocalyptic number.

2680711200 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 2680711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012198730).

2680711200 is an abundant number, since it is smaller than the sum of its proper divisors (7343686260).

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

2680711200 is a wasteful number, since it uses less digits than its factorization.

2680711200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2680711200 is about 51775.5849797953. The cubic root of 2680711200 is about 1389.1527711464.

The spelling of 2680711200 in words is "two billion, six hundred eighty million, seven hundred eleven thousand, two hundred".