2320905600 has 288 divisors, whose sum is σ = 8920002000. Its totient is φ = 571207680.

The previous prime is 2320905593. The next prime is 2320905619. The reversal of 2320905600 is 65090232.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2320905600² = 10773205608222720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 371301 + ... + 377499.

Almost surely, 2^2320905600 is an apocalyptic number.

2320905600 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 2320905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460001000).

2320905600 is an abundant number, since it is smaller than the sum of its proper divisors (6599096400).

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

2320905600 is a wasteful number, since it uses less digits than its factorization.

2320905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2320905600 is about 48175.7781462843. The cubic root of 2320905600 is about 1323.9934161160.

Adding to 2320905600 its reverse (65090232), we get a palindrome (2385995832).

The spelling of 2320905600 in words is "two billion, three hundred twenty million, nine hundred five thousand, six hundred".