2280004506 has 96 divisors (see below), whose sum is σ = 5532666048. Its totient is φ = 674023680.

The previous prime is 2280004501. The next prime is 2280004567. The reversal of 2280004506 is 6054000822.

It is a self number, because there is not a number n which added to its sum of digits gives 2280004506.

It is not an unprimeable number, because it can be changed into a prime (2280004501) 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 47 ways as a sum of consecutive naturals, for example, 641025 + ... + 644571.

It is an arithmetic number, because the mean of its divisors is an integer number (57631938).

Almost surely, 2^2280004506 is an apocalyptic number.

2280004506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280004506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766333024).

2280004506 is an abundant number, since it is smaller than the sum of its proper divisors (3252661542).

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

2280004506 is a wasteful number, since it uses less digits than its factorization.

2280004506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2280004506 is about 47749.3927291227. The cubic root of 2280004506 is about 1316.1697401028.

The spelling of 2280004506 in words is "two billion, two hundred eighty million, four thousand, five hundred six".