2125728000 has 648 divisors, whose sum is σ = 8545395768. Its totient is φ = 506880000.

The previous prime is 2125727983. The next prime is 2125728013. The reversal of 2125728000 is 8275212.

2125728000 is a `hidden beast` number, since 2 + 12 + 572 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 515471616 + 1610256384 = 22704^2 + 40128^2 .

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, 34847970 + ... + 34848030.

Almost surely, 2^2125728000 is an apocalyptic number.

2125728000 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 2125728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272697884).

2125728000 is an abundant number, since it is smaller than the sum of its proper divisors (6419667768).

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

2125728000 is a wasteful number, since it uses less digits than its factorization.

2125728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2125728000 is about 46105.6178789527. The cubic root of 2125728000 is about 1285.7875937037.

The spelling of 2125728000 in words is "two billion, one hundred twenty-five million, seven hundred twenty-eight thousand".