2125972800 has 756 divisors, whose sum is σ = 9242060256. Its totient is φ = 461260800.

The previous prime is 2125972787. The next prime is 2125972811. The reversal of 2125972800 is 82795212.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16228735 + ... + 16228865.

Almost surely, 2^2125972800 is an apocalyptic number.

2125972800 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 2125972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621030128).

2125972800 is an abundant number, since it is smaller than the sum of its proper divisors (7116087456).

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

2125972800 is a wasteful number, since it uses less digits than its factorization.

2125972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2125972800 is about 46108.2725766212. The cubic root of 2125972800 is about 1285.8369491435.

The spelling of 2125972800 in words is "two billion, one hundred twenty-five million, nine hundred seventy-two thousand, eight hundred".