2129295049728 has 2112 divisors, whose sum is σ = 8429893171200. Its totient is φ = 460770508800.

The previous prime is 2129295049639. The next prime is 2129295049751. The reversal of 2129295049728 is 8279405929212.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68686937073 + ... + 68686937103.

Almost surely, 2^{2129295049728} is an apocalyptic number.

2129295049728 is a gapful number since it is divisible by the number (28) 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 2129295049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214946585600).

2129295049728 is an abundant number, since it is smaller than the sum of its proper divisors (6300598121472).

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

2129295049728 is a wasteful number, since it uses less digits than its factorization.

2129295049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 2129295049728 in words is "two trillion, one hundred twenty-nine billion, two hundred ninety-five million, forty-nine thousand, seven hundred twenty-eight".