2280305664 has 264 divisors, whose sum is σ = 8106775040. Its totient is φ = 601178112.

The previous prime is 2280305647. The next prime is 2280305717. The reversal of 2280305664 is 4665030822.

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

It is a congruent number.

It is an unprimeable number.

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, 837297 + ... + 840015.

Almost surely, 2^2280305664 is an apocalyptic number.

2280305664 is a gapful number since it is divisible by the number (24) 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 2280305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053387520).

2280305664 is an abundant number, since it is smaller than the sum of its proper divisors (5826469376).

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

2280305664 is a wasteful number, since it uses less digits than its factorization.

2280305664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2280305664 is about 47752.5461520116. The cubic root of 2280305664 is about 1316.2276870052.

The spelling of 2280305664 in words is "two billion, two hundred eighty million, three hundred five thousand, six hundred sixty-four".