2742058656 has 144 divisors (see below), whose sum is σ = 8562625344. Its totient is φ = 860212224.

The previous prime is 2742058607. The next prime is 2742058661. The reversal of 2742058656 is 6568502472.

2742058656 is a `hidden beast` number, since 27 + 42 + 0 + 586 + 5 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121821 + ... + 142563.

It is an arithmetic number, because the mean of its divisors is an integer number (59462676).

Almost surely, 2^2742058656 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 2742058656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281312672).

2742058656 is an abundant number, since it is smaller than the sum of its proper divisors (5820566688).

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

2742058656 is a wasteful number, since it uses less digits than its factorization.

2742058656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20785 (or 20765 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2742058656 is about 52364.6699216180. The cubic root of 2742058656 is about 1399.6697615637.

The spelling of 2742058656 in words is "two billion, seven hundred forty-two million, fifty-eight thousand, six hundred fifty-six".