2311680 has 160 divisors (see below), whose sum is σ = 8642304. Its totient is φ = 516096.

The previous prime is 2311669. The next prime is 2311681. The reversal of 2311680 is 861132.

2311680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53739 + ... + 53781.

2^2311680 is an apocalyptic number.

2311680 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 2311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321152).

2311680 is an abundant number, since it is smaller than the sum of its proper divisors (6330624).

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

2311680 is an equidigital number, since it uses as much as digits as its factorization.

2311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2311680 is about 1520.4209943302. The cubic root of 2311680 is about 132.2236795211.

The spelling of 2311680 in words is "two million, three hundred eleven thousand, six hundred eighty".