2191288320 has 576 divisors, whose sum is σ = 8585740800. Its totient is φ = 513146880.

The previous prime is 2191288291. The next prime is 2191288349. The reversal of 2191288320 is 238821912.

It is an interprime number because it is at equal distance from previous prime (2191288291) and next prime (2191288349).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37140451 + ... + 37140509.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2^2191288320 is an apocalyptic number.

2191288320 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 2191288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292870400).

2191288320 is an abundant number, since it is smaller than the sum of its proper divisors (6394452480).

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

2191288320 is a wasteful number, since it uses less digits than its factorization.

2191288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2191288320 is about 46811.1986601497. The cubic root of 2191288320 is about 1298.8724582183.

The spelling of 2191288320 in words is "two billion, one hundred ninety-one million, two hundred eighty-eight thousand, three hundred twenty".