2320711680 has 480 divisors, whose sum is σ = 9059420160. Its totient is φ = 495452160.

The previous prime is 2320711651. The next prime is 2320711681. The reversal of 2320711680 is 861170232.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320711681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32686045 + ... + 32686115.

It is an arithmetic number, because the mean of its divisors is an integer number (18873792).

Almost surely, 2^2320711680 is an apocalyptic number.

2320711680 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 2320711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529710080).

2320711680 is an abundant number, since it is smaller than the sum of its proper divisors (6738708480).

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

2320711680 is an equidigital number, since it uses as much as digits as its factorization.

2320711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2320711680 is about 48173.7654745817. The cubic root of 2320711680 is about 1323.9565402869.

The spelling of 2320711680 in words is "two billion, three hundred twenty million, seven hundred eleven thousand, six hundred eighty".