2129078086944 has 96 divisors (see below), whose sum is σ = 5652661412160. Its totient is φ = 701590044672.

The previous prime is 2129078086943. The next prime is 2129078086957. The reversal of 2129078086944 is 4496808709212.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2129078086943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54123667 + ... + 54162989.

It is an arithmetic number, because the mean of its divisors is an integer number (58881889710).

Almost surely, 2^{2129078086944} is an apocalyptic number.

2129078086944 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 2129078086944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826330706080).

2129078086944 is an abundant number, since it is smaller than the sum of its proper divisors (3523583325216).

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

2129078086944 is a wasteful number, since it uses less digits than its factorization.

2129078086944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45762 (or 45754 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 2129078086944 in words is "two trillion, one hundred twenty-nine billion, seventy-eight million, eighty-six thousand, nine hundred forty-four".