2125598400 has 504 divisors, whose sum is σ = 8438723280. Its totient is φ = 504299520.

The previous prime is 2125598393. The next prime is 2125598437. The reversal of 2125598400 is 48955212.

2125598400 is a `hidden beast` number, since 2 + 1 + 25 + 598 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4650972 + ... + 4651428.

Almost surely, 2^2125598400 is an apocalyptic number.

2125598400 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 2125598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219361640).

2125598400 is an abundant number, since it is smaller than the sum of its proper divisors (6313124880).

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

2125598400 is a wasteful number, since it uses less digits than its factorization.

2125598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2125598400 is about 46104.2123888913. The cubic root of 2125598400 is about 1285.7614628192.

The spelling of 2125598400 in words is "two billion, one hundred twenty-five million, five hundred ninety-eight thousand, four hundred".