2261945088 has 216 divisors, whose sum is σ = 7286148688. Its totient is φ = 695734272.

The previous prime is 2261945053. The next prime is 2261945107. The reversal of 2261945088 is 8805491622.

2261945088 is a `hidden beast` number, since 22 + 619 + 4 + 5 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×2261945088² = 10232791162254655488, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 807306 + ... + 810102.

Almost surely, 2^2261945088 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 2261945088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643074344).

2261945088 is an abundant number, since it is smaller than the sum of its proper divisors (5024203600).

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

2261945088 is an equidigital number, since it uses as much as digits as its factorization.

2261945088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2261945088 is about 47559.9105129520. The cubic root of 2261945088 is about 1312.6854934568.

The spelling of 2261945088 in words is "two billion, two hundred sixty-one million, nine hundred forty-five thousand, eighty-eight".