2261827568 has 80 divisors (see below), whose sum is σ = 5883956736. Its totient is φ = 813438720.

The previous prime is 2261827553. The next prime is 2261827597. The reversal of 2261827568 is 8657281622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54596 + ... + 86627.

Almost surely, 2^2261827568 is an apocalyptic number.

2261827568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2261827568 is an abundant number, since it is smaller than the sum of its proper divisors (3622129168).

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

2261827568 is a wasteful number, since it uses less digits than its factorization.

2261827568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141262 (or 141256 counting only the distinct ones).

The product of its digits is 645120, while the sum is 47.

The square root of 2261827568 is about 47558.6750025692. The cubic root of 2261827568 is about 1312.6627594137.

The spelling of 2261827568 in words is "two billion, two hundred sixty-one million, eight hundred twenty-seven thousand, five hundred sixty-eight".