2680857600 has 264 divisors, whose sum is σ = 9009878688. Its totient is φ = 702873600.

The previous prime is 2680857593. The next prime is 2680857601. The reversal of 2680857600 is 67580862.

It is not an unprimeable number, because it can be changed into a prime (2680857601) 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 23 ways as a sum of consecutive naturals, for example, 5145340 + ... + 5145860.

Almost surely, 2^2680857600 is an apocalyptic number.

2680857600 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 2680857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504939344).

2680857600 is an abundant number, since it is smaller than the sum of its proper divisors (6329021088).

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

2680857600 is a wasteful number, since it uses less digits than its factorization.

2680857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2680857600 is about 51776.9987542731. The cubic root of 2680857600 is about 1389.1780589958.

The spelling of 2680857600 in words is "two billion, six hundred eighty million, eight hundred fifty-seven thousand, six hundred".