2742738048 has 72 divisors (see below), whose sum is σ = 7897632795. Its totient is φ = 913653504.

The previous prime is 2742738013. The next prime is 2742738073. The reversal of 2742738048 is 8408372472.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1371369024 + 1371369024 = 37032^2 + 37032^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=37032.

It is a super-2 number, since 2×2742738048² = 15045223999893700608, which contains 22 as substring.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 2742737994 and 2742738012.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1776765 + ... + 1778307.

Almost surely, 2^2742738048 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 2742738048

2742738048 is an abundant number, since it is smaller than the sum of its proper divisors (5154894747).

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

2742738048 is an frugal number, since it uses more digits than its factorization.

2742738048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 2742738048 is about 52371.1566418005. The cubic root of 2742738048 is about 1399.7853494040.

The spelling of 2742738048 in words is "two billion, seven hundred forty-two million, seven hundred thirty-eight thousand, forty-eight".