2291584320 has 168 divisors, whose sum is σ = 8031348936. Its totient is φ = 599519232.

The previous prime is 2291584297. The next prime is 2291584327. The reversal of 2291584320 is 234851922.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 638673984 + 1652910336 = 25272^2 + 40656^2 .

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 (2291584327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145134 + ... + 160146.

Almost surely, 2^2291584320 is an apocalyptic number.

2291584320 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 2291584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015674468).

2291584320 is an abundant number, since it is smaller than the sum of its proper divisors (5739764616).

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

2291584320 is a wasteful number, since it uses less digits than its factorization.

2291584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15089 (or 15076 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2291584320 is about 47870.4952972079. The cubic root of 2291584320 is about 1318.3941905398.

The spelling of 2291584320 in words is "two billion, two hundred ninety-one million, five hundred eighty-four thousand, three hundred twenty".