2694173928768 has 280 divisors, whose sum is σ = 9135771489152. Its totient is φ = 769048390656.

The previous prime is 2694173928749. The next prime is 2694173928791. The reversal of 2694173928768 is 8678293714962.

2694173928768 is a `hidden beast` number, since 2 + 6 + 94 + 17 + 392 + 87 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2694173928696 and 2694173928705.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 39628821 + ... + 39696747.

Almost surely, 2^{2694173928768} is an apocalyptic number.

2694173928768 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 2694173928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567885744576).

2694173928768 is an abundant number, since it is smaller than the sum of its proper divisors (6441597560384).

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

2694173928768 is a wasteful number, since it uses less digits than its factorization.

2694173928768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69051 (or 69032 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 2694173928768 in words is "two trillion, six hundred ninety-four billion, one hundred seventy-three million, nine hundred twenty-eight thousand, seven hundred sixty-eight".