2129838948000 has 960 divisors, whose sum is σ = 8392023607968. Its totient is φ = 527125708800.

The previous prime is 2129838947989. The next prime is 2129838948103. The reversal of 2129838948000 is 8498389212.

2129838948000 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 83 + 89 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 41386206096 + 2088452741904 = 203436^2 + 1445148^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 402081352 + ... + 402086648.

Almost surely, 2^{2129838948000} is an apocalyptic number.

2129838948000 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 2129838948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196011803984).

2129838948000 is an abundant number, since it is smaller than the sum of its proper divisors (6262184659968).

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

2129838948000 is a wasteful number, since it uses less digits than its factorization.

2129838948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 2129838948000 in words is "two trillion, one hundred twenty-nine billion, eight hundred thirty-eight million, nine hundred forty-eight thousand".