2280496680 has 576 divisors, whose sum is σ = 9690145920. Its totient is φ = 472158720.

The previous prime is 2280496663. The next prime is 2280496681. The reversal of 2280496680 is 866940822.

2280496680 is a `hidden beast` number, since 2 + 2 + 80 + 496 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2280496681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8232702 + ... + 8232978.

It is an arithmetic number, because the mean of its divisors is an integer number (16823170).

Almost surely, 2^2280496680 is an apocalyptic number.

2280496680 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 2280496680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845072960).

2280496680 is an abundant number, since it is smaller than the sum of its proper divisors (7409649240).

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

2280496680 is a wasteful number, since it uses less digits than its factorization.

2280496680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2280496680 is about 47754.5461710192. The cubic root of 2280496680 is about 1316.2644384420.

The spelling of 2280496680 in words is "two billion, two hundred eighty million, four hundred ninety-six thousand, six hundred eighty".