2280564072 has 120 divisors (see below), whose sum is σ = 6742271250. Its totient is φ = 720104256.

The previous prime is 2280564071. The next prime is 2280564101. The reversal of 2280564072 is 2704650822.

2280564072 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 5 + 640 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2195297316 + 85266756 = 46854^2 + 9234^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2280564071) 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 29 ways as a sum of consecutive naturals, for example, 229054 + ... + 238802.

Almost surely, 2^2280564072 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 2280564072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371135625).

2280564072 is an abundant number, since it is smaller than the sum of its proper divisors (4461707178).

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

2280564072 is a wasteful number, since it uses less digits than its factorization.

2280564072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9805 (or 9773 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2280564072 is about 47755.2517740196. The cubic root of 2280564072 is about 1316.2774041583.

The spelling of 2280564072 in words is "two billion, two hundred eighty million, five hundred sixty-four thousand, seventy-two".