2261095200 has 1296 divisors, whose sum is σ = 10940627880. Its totient is φ = 433520640.

The previous prime is 2261095189. The next prime is 2261095231. The reversal of 2261095200 is 25901622.

2261095200 is a `hidden beast` number, since 22 + 610 + 9 + 5 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 103306896 + 2157788304 = 10164^2 + 46452^2 .

It is a super-2 number, since 2×2261095200² = 10225103006926080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 77968786 + ... + 77968814.

Almost surely, 2^2261095200 is an apocalyptic number.

2261095200 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 2261095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470313940).

2261095200 is an abundant number, since it is smaller than the sum of its proper divisors (8679532680).

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

2261095200 is a wasteful number, since it uses less digits than its factorization.

2261095200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2261095200 is about 47550.9747534159. The cubic root of 2261095200 is about 1312.5210663285.

Adding to 2261095200 its reverse (25901622), we get a palindrome (2286996822).

The spelling of 2261095200 in words is "two billion, two hundred sixty-one million, ninety-five thousand, two hundred".