2311680000 has 520 divisors, whose sum is σ = 9007216768. Its totient is φ = 516096000.

The previous prime is 2311679971. The next prime is 2311680001. The reversal of 2311680000 is 861132.

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 (2311680001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53759979 + ... + 53760021.

Almost surely, 2^2311680000 is an apocalyptic number.

2311680000 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 2311680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503608384).

2311680000 is an abundant number, since it is smaller than the sum of its proper divisors (6695536768).

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

2311680000 is an frugal number, since it uses more digits than its factorization.

2311680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

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

The square root of 2311680000 is about 48079.9334442135. The cubic root of 2311680000 is about 1322.2367952111.

The spelling of 2311680000 in words is "two billion, three hundred eleven million, six hundred eighty thousand".