2261006360 has 64 divisors (see below), whose sum is σ = 5298592320. Its totient is φ = 867525120.

The previous prime is 2261006357. The next prime is 2261006369. The reversal of 2261006360 is 636001622.

It is a super-2 number, since 2×2261006360² = 10224299519920899200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261006369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94322 + ... + 115838.

It is an arithmetic number, because the mean of its divisors is an integer number (82790505).

Almost surely, 2^2261006360 is an apocalyptic number.

2261006360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261006360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649296160).

2261006360 is an abundant number, since it is smaller than the sum of its proper divisors (3037585960).

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

2261006360 is a wasteful number, since it uses less digits than its factorization.

2261006360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21636 (or 21632 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2261006360 is about 47550.0405888365. The cubic root of 2261006360 is about 1312.5038761488.

Adding to 2261006360 its reverse (636001622), we get a palindrome (2897007982).

The spelling of 2261006360 in words is "two billion, two hundred sixty-one million, six thousand, three hundred sixty".