2291680224 has 144 divisors (see below), whose sum is σ = 6819649200. Its totient is φ = 729028608.

The previous prime is 2291680207. The next prime is 2291680229. The reversal of 2291680224 is 4220861922.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291680229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741787 + ... + 744869.

It is an arithmetic number, because the mean of its divisors is an integer number (47358675).

Almost surely, 2^2291680224 is an apocalyptic number.

2291680224 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 2291680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409824600).

2291680224 is an abundant number, since it is smaller than the sum of its proper divisors (4527968976).

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

2291680224 is a wasteful number, since it uses less digits than its factorization.

2291680224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2291680224 is about 47871.4969893359. The cubic root of 2291680224 is about 1318.4125821116.

The spelling of 2291680224 in words is "two billion, two hundred ninety-one million, six hundred eighty thousand, two hundred twenty-four".