2260002260 has 48 divisors (see below), whose sum is σ = 4835899152. Its totient is φ = 887040000.

The previous prime is 2260002233. The next prime is 2260002263. The reversal of 2260002260 is 622000622.

2260002260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 78925456 + 2181076804 = 8884^2 + 46702^2 .

It is a super-2 number, since 2×2260002260² = 10215220430410215200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260002263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223310 + ... + 233210.

It is an arithmetic number, because the mean of its divisors is an integer number (100747899).

Almost surely, 2^2260002260 is an apocalyptic number.

2260002260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260002260 is an abundant number, since it is smaller than the sum of its proper divisors (2575896892).

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

2260002260 is a wasteful number, since it uses less digits than its factorization.

2260002260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10124 (or 10122 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2260002260 is about 47539.4810657416. The cubic root of 2260002260 is about 1312.3095555575.

Adding to 2260002260 its reverse (622000622), we get a palindrome (2882002882).

It can be divided in two parts, 226000 and 2260, that multiplied together give a square (510760000 = 22600²).

The spelling of 2260002260 in words is "two billion, two hundred sixty million, two thousand, two hundred sixty".