2125610239200 has 1152 divisors, whose sum is σ = 8403212160000. Its totient is φ = 465944371200.

The previous prime is 2125610239183. The next prime is 2125610239217. The reversal of 2125610239200 is 29320165212.

It is an interprime number because it is at equal distance from previous prime (2125610239183) and next prime (2125610239217).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6421783035 + ... + 6421783365.

It is an arithmetic number, because the mean of its divisors is an integer number (7294455000).

Almost surely, 2^{2125610239200} is an apocalyptic number.

2125610239200 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 2125610239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201606080000).

2125610239200 is an abundant number, since it is smaller than the sum of its proper divisors (6277601920800).

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

2125610239200 is a wasteful number, since it uses less digits than its factorization.

2125610239200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 2125610239200 in words is "two trillion, one hundred twenty-five billion, six hundred ten million, two hundred thirty-nine thousand, two hundred".