2280301632 has 420 divisors, whose sum is σ = 8072469504. Its totient is φ = 634314240.

The previous prime is 2280301631. The next prime is 2280301669. The reversal of 2280301632 is 2361030822.

2280301632 is a `hidden beast` number, since 2 + 28 + 0 + 3 + 0 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2280301596 and 2280301605.

It is not an unprimeable number, because it can be changed into a prime (2280301631) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 11938657 + ... + 11938847.

Almost surely, 2^2280301632 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 2280301632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036234752).

2280301632 is an abundant number, since it is smaller than the sum of its proper divisors (5792167872).

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

2280301632 is a wasteful number, since it uses less digits than its factorization.

2280301632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2280301632 is about 47752.5039343488. The cubic root of 2280301632 is about 1316.2269112272.

The spelling of 2280301632 in words is "two billion, two hundred eighty million, three hundred one thousand, six hundred thirty-two".