2734968171264 has 144 divisors (see below), whose sum is σ = 8320781000448. Its totient is φ = 781239177216.

The previous prime is 2734968171259. The next prime is 2734968171269. The reversal of 2734968171264 is 4621718694372.

It is an interprime number because it is at equal distance from previous prime (2734968171259) and next prime (2734968171269).

It is a junction number, because it is equal to n+sod(n) for n = 2734968171198 and 2734968171207.

It is not an unprimeable number, because it can be changed into a prime (2734968171269) 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 15 ways as a sum of consecutive naturals, for example, 24173194 + ... + 24286070.

It is an arithmetic number, because the mean of its divisors is an integer number (57783201392).

Almost surely, 2^{2734968171264} is an apocalyptic number.

2734968171264 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 2734968171264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160390500224).

2734968171264 is an abundant number, since it is smaller than the sum of its proper divisors (5585812829184).

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

2734968171264 is a wasteful number, since it uses less digits than its factorization.

2734968171264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117410 (or 117396 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 2734968171264 in words is "two trillion, seven hundred thirty-four billion, nine hundred sixty-eight million, one hundred seventy-one thousand, two hundred sixty-four".