2685928000 has 112 divisors (see below), whose sum is σ = 7602102144. Its totient is φ = 920870400.

The previous prime is 2685927991. The next prime is 2685928001. The reversal of 2685928000 is 8295862.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2685928001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32019 + ... + 79981.

It is an arithmetic number, because the mean of its divisors is an integer number (67875912).

Almost surely, 2^2685928000 is an apocalyptic number.

2685928000 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 2685928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801051072).

2685928000 is an abundant number, since it is smaller than the sum of its proper divisors (4916174144).

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

2685928000 is an equidigital number, since it uses as much as digits as its factorization.

2685928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47997 (or 47977 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 2685928000 is about 51825.9394512053. The cubic root of 2685928000 is about 1390.0533078257.

The spelling of 2685928000 in words is "two billion, six hundred eighty-five million, nine hundred twenty-eight thousand".