2191836672 has 240 divisors, whose sum is σ = 6672906240. Its totient is φ = 718129152.

The previous prime is 2191836659. The next prime is 2191836701. The reversal of 2191836672 is 2766381912.

2191836672 is a `hidden beast` number, since 219 + 1 + 8 + 366 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9828753 + ... + 9828975.

It is an arithmetic number, because the mean of its divisors is an integer number (27803776).

Almost surely, 2^2191836672 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 2191836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336453120).

2191836672 is an abundant number, since it is smaller than the sum of its proper divisors (4481069568).

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

2191836672 is an frugal number, since it uses more digits than its factorization.

2191836672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 307 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2191836672 is about 46817.0553537917. The cubic root of 2191836672 is about 1298.9807932559.

The spelling of 2191836672 in words is "two billion, one hundred ninety-one million, eight hundred thirty-six thousand, six hundred seventy-two".