2682810936 has 256 divisors, whose sum is σ = 8701862400. Its totient is φ = 758274048.

The previous prime is 2682810917. The next prime is 2682810947. The reversal of 2682810936 is 6390182862.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2682810891 and 2682810900.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2051995 + ... + 2053301.

It is an arithmetic number, because the mean of its divisors is an integer number (33991650).

Almost surely, 2^2682810936 is an apocalyptic number.

2682810936 is a gapful number since it is divisible by the number (26) 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 2682810936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350931200).

2682810936 is an abundant number, since it is smaller than the sum of its proper divisors (6019051464).

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

2682810936 is a wasteful number, since it uses less digits than its factorization.

2682810936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2682810936 is about 51795.8582900216. The cubic root of 2682810936 is about 1389.5153730369.

The spelling of 2682810936 in words is "two billion, six hundred eighty-two million, eight hundred ten thousand, nine hundred thirty-six".