2734879896 has 256 divisors, whose sum is σ = 9291110400. Its totient is φ = 727584768.

The previous prime is 2734879891. The next prime is 2734879909. The reversal of 2734879896 is 6989784372.

2734879896 is a `hidden beast` number, since 2 + 73 + 487 + 9 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734879891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2646996 + ... + 2648028.

It is an arithmetic number, because the mean of its divisors is an integer number (36293400).

Almost surely, 2^2734879896 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 2734879896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645555200).

2734879896 is an abundant number, since it is smaller than the sum of its proper divisors (6556230504).

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

2734879896 is a wasteful number, since it uses less digits than its factorization.

2734879896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1165 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The square root of 2734879896 is about 52296.0791646946. The cubic root of 2734879896 is about 1398.4472403539.

The spelling of 2734879896 in words is "two billion, seven hundred thirty-four million, eight hundred seventy-nine thousand, eight hundred ninety-six".