2735134848 has 96 divisors (see below), whose sum is σ = 7881545100. Its totient is φ = 910448640.

The previous prime is 2735134823. The next prime is 2735134877. The reversal of 2735134848 is 8484315372.

It can be written as a sum of positive squares in 2 ways, for example, as 2719831104 + 15303744 = 52152^2 + 3912^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2735134848³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1230378 + ... + 1232598.

Almost surely, 2^2735134848 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 2735134848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940772550).

2735134848 is an abundant number, since it is smaller than the sum of its proper divisors (5146410252).

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

2735134848 is a wasteful number, since it uses less digits than its factorization.

2735134848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3295 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2735134848 is about 52298.5166902466. The cubic root of 2735134848 is about 1398.4906945282.

The spelling of 2735134848 in words is "two billion, seven hundred thirty-five million, one hundred thirty-four thousand, eight hundred forty-eight".