2125505740800 has 1440 divisors, whose sum is σ = 8191225728000. Its totient is φ = 481862615040.

The previous prime is 2125505740789. The next prime is 2125505740849. The reversal of 2125505740800 is 80475055212.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14265139126 + ... + 14265139274.

It is an arithmetic number, because the mean of its divisors is an integer number (5688351200).

Almost surely, 2^{2125505740800} is an apocalyptic number.

2125505740800 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 2125505740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095612864000).

2125505740800 is an abundant number, since it is smaller than the sum of its proper divisors (6065719987200).

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

2125505740800 is a wasteful number, since it uses less digits than its factorization.

2125505740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 39.

The spelling of 2125505740800 in words is "two trillion, one hundred twenty-five billion, five hundred five million, seven hundred forty thousand, eight hundred".