2814457825 has 24 divisors (see below), whose sum is σ = 3556647360. Its totient is φ = 2208686400.

The previous prime is 2814457759. The next prime is 2814457829. The reversal of 2814457825 is 5287544182.

It is not a de Polignac number, because 2814457825 - 2⁷ = 2814457697 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2814457829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796212 + ... + 799738.

It is an arithmetic number, because the mean of its divisors is an integer number (148193640).

Almost surely, 2^2814457825 is an apocalyptic number.

2814457825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2814457825 is a deficient number, since it is larger than the sum of its proper divisors (742189535).

2814457825 is a wasteful number, since it uses less digits than its factorization.

2814457825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4132 counting only the distinct ones).

The product of its digits is 716800, while the sum is 46.

The square root of 2814457825 is about 53051.4639289059. The cubic root of 2814457825 is about 1411.8815022592.

The spelling of 2814457825 in words is "two billion, eight hundred fourteen million, four hundred fifty-seven thousand, eight hundred twenty-five".