2682001000 has 64 divisors (see below), whose sum is σ = 7172455680. Its totient is φ = 919540800.

The previous prime is 2682000977. The next prime is 2682001001. The reversal of 2682001000 is 1002862.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2682001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184572 + ... + 198571.

It is an arithmetic number, because the mean of its divisors is an integer number (112069620).

Almost surely, 2^2682001000 is an apocalyptic number.

2682001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2682001000 is an abundant number, since it is smaller than the sum of its proper divisors (4490454680).

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

2682001000 is a wasteful number, since it uses less digits than its factorization.

2682001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383171 (or 383157 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2682001000 is about 51788.0391596361. The cubic root of 2682001000 is about 1389.3755281972.

Adding to 2682001000 its reverse (1002862), we get a palindrome (2683003862).

The spelling of 2682001000 in words is "two billion, six hundred eighty-two million, one thousand".