2164871625 has 64 divisors (see below), whose sum is σ = 4134274560. Its totient is φ = 985497600.

The previous prime is 2164871603. The next prime is 2164871641. The reversal of 2164871625 is 5261784612.

It is a happy number.

It is not a de Polignac number, because 2164871625 - 2⁶ = 2164871561 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 673021 + ... + 676229.

It is an arithmetic number, because the mean of its divisors is an integer number (64598040).

Almost surely, 2^2164871625 is an apocalyptic number.

2164871625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2164871625 is a deficient number, since it is larger than the sum of its proper divisors (1969402935).

2164871625 is a wasteful number, since it uses less digits than its factorization.

2164871625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3481 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 2164871625 is about 46528.1809766941. The cubic root of 2164871625 is about 1293.6318989489.

The spelling of 2164871625 in words is "two billion, one hundred sixty-four million, eight hundred seventy-one thousand, six hundred twenty-five".