2191986720 has 576 divisors, whose sum is σ = 9527341824. Its totient is φ = 445685760.

The previous prime is 2191986689. The next prime is 2191986787. The reversal of 2191986720 is 276891912.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5876454 + ... + 5876826.

It is an arithmetic number, because the mean of its divisors is an integer number (16540524).

Almost surely, 2^2191986720 is an apocalyptic number.

2191986720 is a gapful number since it is divisible by the number (20) 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 2191986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763670912).

2191986720 is an abundant number, since it is smaller than the sum of its proper divisors (7335355104).

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

2191986720 is a wasteful number, since it uses less digits than its factorization.

2191986720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2191986720 is about 46818.6578192925. The cubic root of 2191986720 is about 1299.0104343061.

The spelling of 2191986720 in words is "two billion, one hundred ninety-one million, nine hundred eighty-six thousand, seven hundred twenty".