2734335641136 has 240 divisors, whose sum is σ = 8376080584032. Its totient is φ = 765130629120.

The previous prime is 2734335641123. The next prime is 2734335641179. The reversal of 2734335641136 is 6311465334372.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 4971750 + ... + 5494266.

Almost surely, 2^{2734335641136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2734335641136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188040292016).

2734335641136 is an abundant number, since it is smaller than the sum of its proper divisors (5641744942896).

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

2734335641136 is a wasteful number, since it uses less digits than its factorization.

2734335641136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522620 (or 522603 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 48.

The spelling of 2734335641136 in words is "two trillion, seven hundred thirty-four billion, three hundred thirty-five million, six hundred forty-one thousand, one hundred thirty-six".