2118965625 has 144 divisors (see below), whose sum is σ = 4484712960. Its totient is φ = 943920000.

The previous prime is 2118965603. The next prime is 2118965627. The reversal of 2118965625 is 5265698112.

2118965625 is a `hidden beast` number, since 2 + 1 + 1 + 89 + 6 + 562 + 5 = 666.

2118965625 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2118965625 - 2¹¹ = 2118963577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118965627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9253011 + ... + 9253239.

It is an arithmetic number, because the mean of its divisors is an integer number (31143840).

Almost surely, 2^2118965625 is an apocalyptic number.

2118965625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2118965625 is an abundant number, since it is smaller than the sum of its proper divisors (2365747335).

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

2118965625 is an equidigital number, since it uses as much as digits as its factorization.

2118965625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 291 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 2118965625 is about 46032.2237677043. The cubic root of 2118965625 is about 1284.4226943413.

The spelling of 2118965625 in words is "two billion, one hundred eighteen million, nine hundred sixty-five thousand, six hundred twenty-five".