2814941680 has 80 divisors (see below), whose sum is σ = 6778316160. Its totient is φ = 1086430464.

The previous prime is 2814941669. The next prime is 2814941683. The reversal of 2814941680 is 861494182.

2814941680 is digitally balanced in base 2, 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2814941683) 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, 280591 + ... + 290449.

It is an arithmetic number, because the mean of its divisors is an integer number (84728952).

Almost surely, 2^2814941680 is an apocalyptic number.

2814941680 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 2814941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389158080).

2814941680 is an abundant number, since it is smaller than the sum of its proper divisors (3963374480).

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

2814941680 is a wasteful number, since it uses less digits than its factorization.

2814941680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9998 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 2814941680 is about 53056.0239746629. The cubic root of 2814941680 is about 1411.9624067439.

The spelling of 2814941680 in words is "two billion, eight hundred fourteen million, nine hundred forty-one thousand, six hundred eighty".