2129526088704 has 792 divisors, whose sum is σ = 7750961700768. Its totient is φ = 559241625600.

The previous prime is 2129526088693. The next prime is 2129526088709. The reversal of 2129526088704 is 4078806259212.

2129526088704 is a `hidden beast` number, since 2 + 1 + 29 + 5 + 2 + 608 + 8 + 7 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2129526088709) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 330104679 + ... + 330111129.

It is an arithmetic number, because the mean of its divisors is an integer number (9786567804).

Almost surely, 2^{2129526088704} is an apocalyptic number.

2129526088704 is a gapful number since it is divisible by the number (24) 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 2129526088704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875480850384).

2129526088704 is an abundant number, since it is smaller than the sum of its proper divisors (5621435612064).

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

2129526088704 is a wasteful number, since it uses less digits than its factorization.

2129526088704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6551 (or 6523 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2129526088704 in words is "two trillion, one hundred twenty-nine billion, five hundred twenty-six million, eighty-eight thousand, seven hundred four".