2680416336 has 240 divisors, whose sum is σ = 8026944576. Its totient is φ = 765904896.

The previous prime is 2680416307. The next prime is 2680416373. The reversal of 2680416336 is 6336140862.

2680416336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2680416294 and 2680416303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16444191 + ... + 16444353.

Almost surely, 2^2680416336 is an apocalyptic number.

2680416336 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 2680416336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013472288).

2680416336 is an abundant number, since it is smaller than the sum of its proper divisors (5346528240).

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

2680416336 is a wasteful number, since it uses less digits than its factorization.

2680416336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2680416336 is about 51772.7373817533. The cubic root of 2680416336 is about 1389.1018361356.

The spelling of 2680416336 in words is "two billion, six hundred eighty million, four hundred sixteen thousand, three hundred thirty-six".