2125519200 has 432 divisors, whose sum is σ = 8650133856. Its totient is φ = 481075200.

The previous prime is 2125519181. The next prime is 2125519213. The reversal of 2125519200 is 29155212.

2125519200 is a `hidden beast` number, since 2 + 125 + 519 + 20 + 0 = 666.

2125519200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9122284 + ... + 9122516.

It is an arithmetic number, because the mean of its divisors is an integer number (20023458).

Almost surely, 2^2125519200 is an apocalyptic number.

2125519200 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 2125519200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325066928).

2125519200 is an abundant number, since it is smaller than the sum of its proper divisors (6524614656).

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

2125519200 is a wasteful number, since it uses less digits than its factorization.

2125519200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 2125519200 is about 46103.3534572053. The cubic root of 2125519200 is about 1285.7454934224.

The spelling of 2125519200 in words is "two billion, one hundred twenty-five million, five hundred nineteen thousand, two hundred".