2191827680 has 96 divisors (see below), whose sum is σ = 6266102976. Its totient is φ = 707272704.

The previous prime is 2191827637. The next prime is 2191827683. The reversal of 2191827680 is 867281912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191827683) 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, 38519 + ... + 76598.

It is an arithmetic number, because the mean of its divisors is an integer number (65271906).

Almost surely, 2^2191827680 is an apocalyptic number.

2191827680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2191827680 is an abundant number, since it is smaller than the sum of its proper divisors (4074275296).

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

2191827680 is a wasteful number, since it uses less digits than its factorization.

2191827680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115156 (or 115148 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The square root of 2191827680 is about 46816.9593203147. The cubic root of 2191827680 is about 1298.9790168992.

The spelling of 2191827680 in words is "two billion, one hundred ninety-one million, eight hundred twenty-seven thousand, six hundred eighty".