2742316128 has 96 divisors (see below), whose sum is σ = 8346240000. Its totient is φ = 874355328.

The previous prime is 2742316111. The next prime is 2742316193. The reversal of 2742316128 is 8216132472.

It is a happy number.

2742316128 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 31 + 612 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2742316092 and 2742316101.

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, 49128 + ... + 88871.

It is an arithmetic number, because the mean of its divisors is an integer number (86940000).

Almost surely, 2^2742316128 is an apocalyptic number.

It is an amenable number.

2742316128 is an abundant number, since it is smaller than the sum of its proper divisors (5603923872).

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

2742316128 is a wasteful number, since it uses less digits than its factorization.

2742316128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138041 (or 138027 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2742316128 is about 52367.1283153850. The cubic root of 2742316128 is about 1399.7135686128.

The spelling of 2742316128 in words is "two billion, seven hundred forty-two million, three hundred sixteen thousand, one hundred twenty-eight".