2125812600 has 576 divisors, whose sum is σ = 8189475840. Its totient is φ = 510105600.

The previous prime is 2125812599. The next prime is 2125812673. The reversal of 2125812600 is 62185212.

It is a happy number.

2125812600 is a `hidden beast` number, since 2 + 1 + 2 + 58 + 1 + 2 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 25612159 + ... + 25612241.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2^2125812600 is an apocalyptic number.

2125812600 is a gapful number since it is divisible by the number (20) 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 2125812600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094737920).

2125812600 is an abundant number, since it is smaller than the sum of its proper divisors (6063663240).

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

2125812600 is a wasteful number, since it uses less digits than its factorization.

2125812600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2125812600 is about 46106.5353285193. The cubic root of 2125812600 is about 1285.8046507915.

Adding to 2125812600 its reverse (62185212), we get a palindrome (2187997812).

The spelling of 2125812600 in words is "two billion, one hundred twenty-five million, eight hundred twelve thousand, six hundred".