2129648042016 has 768 divisors, whose sum is σ = 7130052034560. Its totient is φ = 620226201600.

The previous prime is 2129648041943. The next prime is 2129648042023. The reversal of 2129648042016 is 6102408469212.

It is a happy number.

2129648042016 is a `hidden beast` number, since 2 + 129 + 6 + 480 + 42 + 0 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5560438561 + ... + 5560438943.

It is an arithmetic number, because the mean of its divisors is an integer number (9283921920).

Almost surely, 2^{2129648042016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129648042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565026017280).

2129648042016 is an abundant number, since it is smaller than the sum of its proper divisors (5000403992544).

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

2129648042016 is a wasteful number, since it uses less digits than its factorization.

2129648042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2129648042016 in words is "two trillion, one hundred twenty-nine billion, six hundred forty-eight million, forty-two thousand, sixteen".