2191921344 has 224 divisors, whose sum is σ = 6791431680. Its totient is φ = 691891200.

The previous prime is 2191921337. The next prime is 2191921379. The reversal of 2191921344 is 4431291912.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2191921299 and 2191921308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5206254 + ... + 5206674.

Almost surely, 2^2191921344 is an apocalyptic number.

2191921344 is a gapful number since it is divisible by the number (24) 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 2191921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395715840).

2191921344 is an abundant number, since it is smaller than the sum of its proper divisors (4599510336).

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

2191921344 is a wasteful number, since it uses less digits than its factorization.

2191921344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 580 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2191921344 is about 46817.9596308938. The cubic root of 2191921344 is about 1298.9975198498.

The spelling of 2191921344 in words is "two billion, one hundred ninety-one million, nine hundred twenty-one thousand, three hundred forty-four".