2742358816 has 48 divisors (see below), whose sum is σ = 5640776064. Its totient is φ = 1309929984.

The previous prime is 2742358799. The next prime is 2742358819. The reversal of 2742358816 is 6188532472.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (2742358819) 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 7 ways as a sum of consecutive naturals, for example, 758485 + ... + 762091.

It is an arithmetic number, because the mean of its divisors is an integer number (117516168).

Almost surely, 2^2742358816 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 2742358816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820388032).

2742358816 is an abundant number, since it is smaller than the sum of its proper divisors (2898417248).

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

2742358816 is a wasteful number, since it uses less digits than its factorization.

2742358816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4665 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 2742358816 is about 52367.5358977296. The cubic root of 2742358816 is about 1399.7208314106.

The spelling of 2742358816 in words is "two billion, seven hundred forty-two million, three hundred fifty-eight thousand, eight hundred sixteen".