2280579728 has 160 divisors (see below), whose sum is σ = 5546311680. Its totient is φ = 886464000.

The previous prime is 2280579713. The next prime is 2280579773. The reversal of 2280579728 is 8279750822.

2280579728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11940113 + ... + 11940303.

It is an arithmetic number, because the mean of its divisors is an integer number (34664448).

Almost surely, 2^2280579728 is an apocalyptic number.

2280579728 is a gapful number since it is divisible by the number (28) 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 2280579728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773155840).

2280579728 is an abundant number, since it is smaller than the sum of its proper divisors (3265731952).

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

2280579728 is a wasteful number, since it uses less digits than its factorization.

2280579728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 50.

The square root of 2280579728 is about 47755.4156928824. The cubic root of 2280579728 is about 1316.2804162189.

The spelling of 2280579728 in words is "two billion, two hundred eighty million, five hundred seventy-nine thousand, seven hundred twenty-eight".