2260395072 has 280 divisors, whose sum is σ = 7644283416. Its totient is φ = 654262272.

The previous prime is 2260395047. The next prime is 2260395073. The reversal of 2260395072 is 2705930622.

2260395072 is a `hidden beast` number, since 2 + 260 + 395 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83612736 + 2176782336 = 9144^2 + 46656^2 .

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 (2260395073) 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 39 ways as a sum of consecutive naturals, for example, 1144678 + ... + 1146650.

Almost surely, 2^2260395072 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 2260395072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822141708).

2260395072 is an abundant number, since it is smaller than the sum of its proper divisors (5383888344).

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

2260395072 is a wasteful number, since it uses less digits than its factorization.

2260395072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2260395072 is about 47543.6123154310. The cubic root of 2260395072 is about 1312.3855821891.

The spelling of 2260395072 in words is "two billion, two hundred sixty million, three hundred ninety-five thousand, seventy-two".