2742882048 has 144 divisors (see below), whose sum is σ = 8193578400. Its totient is φ = 905011200.

The previous prime is 2742882029. The next prime is 2742882053. The reversal of 2742882048 is 8402882472.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2742881994 and 2742882012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696148 + ... + 700076.

It is an arithmetic number, because the mean of its divisors is an integer number (56899850).

Almost surely, 2^2742882048 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 2742882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096789200).

2742882048 is an abundant number, since it is smaller than the sum of its proper divisors (5450696352).

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

2742882048 is a wasteful number, since it uses less digits than its factorization.

2742882048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 2742882048 is about 52372.5314263116. The cubic root of 2742882048 is about 1399.8098462826.

The spelling of 2742882048 in words is "two billion, seven hundred forty-two million, eight hundred eighty-two thousand, forty-eight".