2125859904 has 210 divisors, whose sum is σ = 7331442030. Its totient is φ = 607315968.

The previous prime is 2125859903. The next prime is 2125859909. The reversal of 2125859904 is 4099585212.

It is a happy number.

2125859904 is a `hidden beast` number, since 2 + 1 + 2 + 58 + 599 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1967099904 + 158760000 = 44352^2 + 12600^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2125859904.

It is not an unprimeable number, because it can be changed into a prime (2125859903) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 249832 + ... + 258200.

Almost surely, 2^2125859904 is an apocalyptic number.

2125859904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125859904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665721015).

2125859904 is an abundant number, since it is smaller than the sum of its proper divisors (5205582126).

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

2125859904 is an equidigital number, since it uses as much as digits as its factorization.

2125859904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8407 (or 8381 counting only the distinct ones).

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

The square root of 2125859904 is about 46107.0483115109. The cubic root of 2125859904 is about 1285.8141880467.

The spelling of 2125859904 in words is "two billion, one hundred twenty-five million, eight hundred fifty-nine thousand, nine hundred four".