2746341255168 has 768 divisors, whose sum is σ = 9729720000000. Its totient is φ = 748826394624.

The previous prime is 2746341255107. The next prime is 2746341255187. The reversal of 2746341255168 is 8615521436472.

2746341255168 is a `hidden beast` number, since 2 + 7 + 4 + 63 + 41 + 25 + 516 + 8 = 666.

2746341255168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 999031458 + ... + 999034206.

It is an arithmetic number, because the mean of its divisors is an integer number (12668906250).

Almost surely, 2^{2746341255168} is an apocalyptic number.

2746341255168 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 2746341255168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864860000000).

2746341255168 is an abundant number, since it is smaller than the sum of its proper divisors (6983378744832).

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

2746341255168 is a wasteful number, since it uses less digits than its factorization.

2746341255168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2879 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 2746341255168 in words is "two trillion, seven hundred forty-six billion, three hundred forty-one million, two hundred fifty-five thousand, one hundred sixty-eight".