2814525216 has 72 divisors (see below), whose sum is σ = 8262019584. Its totient is φ = 907908480.

The previous prime is 2814525191. The next prime is 2814525227. The reversal of 2814525216 is 6125254182.

2814525216 is a `hidden beast` number, since 2 + 81 + 4 + 52 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148696 + ... + 166551.

It is an arithmetic number, because the mean of its divisors is an integer number (114750272).

Almost surely, 2^2814525216 is an apocalyptic number.

It is an amenable number.

2814525216 is an abundant number, since it is smaller than the sum of its proper divisors (5447494368).

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

2814525216 is a wasteful number, since it uses less digits than its factorization.

2814525216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315294 (or 315283 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2814525216 is about 53052.0990725155. The cubic root of 2814525216 is about 1411.8927711374.

Adding to 2814525216 its reverse (6125254182), we get a palindrome (8939779398).

It can be divided in two parts, 28145 and 25216, that added together give a square (53361 = 231²).

The spelling of 2814525216 in words is "two billion, eight hundred fourteen million, five hundred twenty-five thousand, two hundred sixteen".