2125056000 has 192 divisors, whose sum is σ = 7073015040. Its totient is φ = 566476800.

The previous prime is 2125055987. The next prime is 2125056013. The reversal of 2125056000 is 6505212.

It is an interprime number because it is at equal distance from previous prime (2125055987) and next prime (2125056013).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766617 + ... + 769383.

It is an arithmetic number, because the mean of its divisors is an integer number (36838620).

Almost surely, 2^2125056000 is an apocalyptic number.

2125056000 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 2125056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536507520).

2125056000 is an abundant number, since it is smaller than the sum of its proper divisors (4947959040).

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

2125056000 is an equidigital number, since it uses as much as digits as its factorization.

2125056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2125056000 is about 46098.3296877447. The cubic root of 2125056000 is about 1285.6520887020.

The spelling of 2125056000 in words is "two billion, one hundred twenty-five million, fifty-six thousand".