2083125600 has 720 divisors, whose sum is σ = 8439209856. Its totient is φ = 497664000.

The previous prime is 2083125599. The next prime is 2083125613. The reversal of 2083125600 is 65213802.

2083125600 is a `hidden beast` number, since 2 + 0 + 8 + 31 + 25 + 600 = 666.

2083125600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34149570 + ... + 34149630.

Almost surely, 2^2083125600 is an apocalyptic number.

2083125600 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 2083125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219604928).

2083125600 is an abundant number, since it is smaller than the sum of its proper divisors (6356084256).

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

2083125600 is a wasteful number, since it uses less digits than its factorization.

2083125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2083125600 is about 45641.2707973825. The cubic root of 2083125600 is about 1277.1399357748.

The spelling of 2083125600 in words is "two billion, eighty-three million, one hundred twenty-five thousand, six hundred".