2128289625 has 192 divisors, whose sum is σ = 4859412480. Its totient is φ = 870480000.

The previous prime is 2128289621. The next prime is 2128289629. The reversal of 2128289625 is 5269828212.

2128289625 is a `hidden beast` number, since 2 + 12 + 8 + 2 + 8 + 9 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (2128289621) and next prime (2128289629).

It is not a de Polignac number, because 2128289625 - 2² = 2128289621 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2128289621) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6843220 + ... + 6843530.

It is an arithmetic number, because the mean of its divisors is an integer number (25309440).

Almost surely, 2^2128289625 is an apocalyptic number.

2128289625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2128289625 is an abundant number, since it is smaller than the sum of its proper divisors (2731122855).

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

2128289625 is a wasteful number, since it uses less digits than its factorization.

2128289625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2128289625 is about 46133.3894809389. The cubic root of 2128289625 is about 1286.3038691467.

The spelling of 2128289625 in words is "two billion, one hundred twenty-eight million, two hundred eighty-nine thousand, six hundred twenty-five".