2191432320 has 896 divisors, whose sum is σ = 9953470080. Its totient is φ = 447897600.

The previous prime is 2191432319. The next prime is 2191432343. The reversal of 2191432320 is 232341912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×2191432320² = 9604751226281164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 35925090 + ... + 35925150.

Almost surely, 2^2191432320 is an apocalyptic number.

2191432320 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 2191432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976735040).

2191432320 is an abundant number, since it is smaller than the sum of its proper divisors (7762037760).

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

2191432320 is an equidigital number, since it uses as much as digits as its factorization.

2191432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2191432320 is about 46812.7367283734. The cubic root of 2191432320 is about 1298.9009092951.

The spelling of 2191432320 in words is "two billion, one hundred ninety-one million, four hundred thirty-two thousand, three hundred twenty".