2280436416 has 168 divisors, whose sum is σ = 6814377024. Its totient is φ = 756138240.

The previous prime is 2280436397. The next prime is 2280436421. The reversal of 2280436416 is 6146340822.

2280436416 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 4 + 3 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5147491 + ... + 5147933.

It is an arithmetic number, because the mean of its divisors is an integer number (40561768).

Almost surely, 2^2280436416 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 2280436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407188512).

2280436416 is an abundant number, since it is smaller than the sum of its proper divisors (4533940608).

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

2280436416 is an equidigital number, since it uses as much as digits as its factorization.

2280436416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2280436416 is about 47753.9151902752. The cubic root of 2280436416 is about 1316.2528438831.

The spelling of 2280436416 in words is "two billion, two hundred eighty million, four hundred thirty-six thousand, four hundred sixteen".