2814663852 has 288 divisors, whose sum is σ = 9815629824. Its totient is φ = 656294400.

The previous prime is 2814663851. The next prime is 2814663869. The reversal of 2814663852 is 2583664182.

2814663852 is a `hidden beast` number, since 2 + 8 + 1 + 4 + 6 + 638 + 5 + 2 = 666.

2814663852 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2814663798 and 2814663807.

It is not an unprimeable number, because it can be changed into a prime (2814663851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1332277 + ... + 1334387.

It is an arithmetic number, because the mean of its divisors is an integer number (34082048).

Almost surely, 2^2814663852 is an apocalyptic number.

2814663852 is a gapful number since it is divisible by the number (22) 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 2814663852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907814912).

2814663852 is an abundant number, since it is smaller than the sum of its proper divisors (7000965972).

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

2814663852 is a wasteful number, since it uses less digits than its factorization.

2814663852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2184 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2814663852 is about 53053.4056588265. The cubic root of 2814663852 is about 1411.9159527799.

It can be divided in two parts, 2814 and 663852, that added together give a palindrome (666666).

The spelling of 2814663852 in words is "two billion, eight hundred fourteen million, six hundred sixty-three thousand, eight hundred fifty-two".