2680515936 has 576 divisors, whose sum is σ = 10114191360. Its totient is φ = 673505280.

The previous prime is 2680515931. The next prime is 2680515941. The reversal of 2680515936 is 6395150862.

2680515936 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 51 + 593 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2680515931) and next prime (2680515941).

It is a junction number, because it is equal to n+sod(n) for n = 2680515891 and 2680515900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680515931) 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 95 ways as a sum of consecutive naturals, for example, 86468241 + ... + 86468271.

It is an arithmetic number, because the mean of its divisors is an integer number (17559360).

Almost surely, 2^2680515936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680515936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057095680).

2680515936 is an abundant number, since it is smaller than the sum of its proper divisors (7433675424).

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

2680515936 is a wasteful number, since it uses less digits than its factorization.

2680515936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2680515936 is about 51773.6992690304. The cubic root of 2680515936 is about 1389.1190415260.

The spelling of 2680515936 in words is "two billion, six hundred eighty million, five hundred fifteen thousand, nine hundred thirty-six".