2129755770240 has 512 divisors, whose sum is σ = 8430206976000. Its totient is φ = 446301757440.

The previous prime is 2129755770187. The next prime is 2129755770277. The reversal of 2129755770240 is 420775579212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7781641 + ... + 8050679.

It is an arithmetic number, because the mean of its divisors is an integer number (16465248000).

Almost surely, 2^{2129755770240} is an apocalyptic number.

2129755770240 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 2129755770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215103488000).

2129755770240 is an abundant number, since it is smaller than the sum of its proper divisors (6300451205760).

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

2129755770240 is a wasteful number, since it uses less digits than its factorization.

2129755770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269118 (or 269106 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 2129755770240 in words is "two trillion, one hundred twenty-nine billion, seven hundred fifty-five million, seven hundred seventy thousand, two hundred forty".