2328197760 has 576 divisors, whose sum is σ = 9564146280. Its totient is φ = 520224768.

The previous prime is 2328197759. The next prime is 2328197779. The reversal of 2328197760 is 677918232.

It can be written as a sum of positive squares in 4 ways, for example, as 1232852544 + 1095345216 = 35112^2 + 33096^2 .

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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20603464 + ... + 20603576.

Almost surely, 2^2328197760 is an apocalyptic number.

2328197760 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 2328197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782073140).

2328197760 is an abundant number, since it is smaller than the sum of its proper divisors (7235948520).

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

2328197760 is a wasteful number, since it uses less digits than its factorization.

2328197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2328197760 is about 48251.4016376727. The cubic root of 2328197760 is about 1325.3786049911.

The spelling of 2328197760 in words is "two billion, three hundred twenty-eight million, one hundred ninety-seven thousand, seven hundred sixty".