2261822688 has 36 divisors (see below), whose sum is σ = 6432059088. Its totient is φ = 753940800.

The previous prime is 2261822677. The next prime is 2261822707. The reversal of 2261822688 is 8862281622.

2261822688 is a `hidden beast` number, since 2 + 2 + 618 + 2 + 26 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3926488 + ... + 3927063.

It is an arithmetic number, because the mean of its divisors is an integer number (178668308).

Almost surely, 2^2261822688 is an apocalyptic number.

It is an amenable number.

2261822688 is an abundant number, since it is smaller than the sum of its proper divisors (4170236400).

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

2261822688 is a wasteful number, since it uses less digits than its factorization.

2261822688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7853567 (or 7853556 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 2261822688 is about 47558.6236974957. The cubic root of 2261822688 is about 1312.6618153690.

The spelling of 2261822688 in words is "two billion, two hundred sixty-one million, eight hundred twenty-two thousand, six hundred eighty-eight".