2129768484480 has 2048 divisors, whose sum is σ = 9820326297600. Its totient is φ = 429229228032.

The previous prime is 2129768484433. The next prime is 2129768484491. The reversal of 2129768484480 is 844848679212.

2129768484480 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 76 + 8 + 4 + 84 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 2929529877 + ... + 2929530603.

It is an arithmetic number, because the mean of its divisors is an integer number (4795081200).

Almost surely, 2^{2129768484480} is an apocalyptic number.

2129768484480 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 2129768484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910163148800).

2129768484480 is an abundant number, since it is smaller than the sum of its proper divisors (7690557813120).

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

2129768484480 is an equidigital number, since it uses as much as digits as its factorization.

2129768484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 2129768484480 in words is "two trillion, one hundred twenty-nine billion, seven hundred sixty-eight million, four hundred eighty-four thousand, four hundred eighty".