2280319776 has 144 divisors (see below), whose sum is σ = 7685705664. Its totient is φ = 651504384.

The previous prime is 2280319759. The next prime is 2280319787. The reversal of 2280319776 is 6779130822.

2280319776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33486 + ... + 75378.

It is an arithmetic number, because the mean of its divisors is an integer number (53372956).

Almost surely, 2^2280319776 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 2280319776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842852832).

2280319776 is an abundant number, since it is smaller than the sum of its proper divisors (5405385888).

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

2280319776 is an equidigital number, since it uses as much as digits as its factorization.

2280319776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41925 (or 41905 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2280319776 is about 47752.6939135375. The cubic root of 2280319776 is about 1316.2304022212.

The spelling of 2280319776 in words is "two billion, two hundred eighty million, three hundred nineteen thousand, seven hundred seventy-six".