2034673966944 has 192 divisors, whose sum is σ = 6048439750080. Its totient is φ = 665207562240.

The previous prime is 2034673966909. The next prime is 2034673966973. The reversal of 2034673966944 is 4496693764302.

2034673966944 is a `hidden beast` number, since 20 + 3 + 467 + 3 + 9 + 66 + 94 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194198634 + ... + 194209110.

It is an arithmetic number, because the mean of its divisors is an integer number (31502290365).

Almost surely, 2^{2034673966944} is an apocalyptic number.

2034673966944 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 2034673966944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024219875040).

2034673966944 is an abundant number, since it is smaller than the sum of its proper divisors (4013765783136).

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

2034673966944 is a wasteful number, since it uses less digits than its factorization.

2034673966944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14790 (or 14776 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 63.

The spelling of 2034673966944 in words is "two trillion, thirty-four billion, six hundred seventy-three million, nine hundred sixty-six thousand, nine hundred forty-four".