2742922971648 has 360 divisors, whose sum is σ = 8162526432060. Its totient is φ = 886604759040.

The previous prime is 2742922971629. The next prime is 2742922971713. The reversal of 2742922971648 is 8461792292472.

It is a happy number.

2742922971648 is a `hidden beast` number, since 2 + 7 + 4 + 292 + 297 + 16 + 48 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 562788036864 + 2180134934784 = 750192^2 + 1476528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1152003418 + ... + 1152005798.

Almost surely, 2^{2742922971648} 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 2742922971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081263216030).

2742922971648 is an abundant number, since it is smaller than the sum of its proper divisors (5419603460412).

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

2742922971648 is an equidigital number, since it uses as much as digits as its factorization.

2742922971648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2528 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 2742922971648 in words is "two trillion, seven hundred forty-two billion, nine hundred twenty-two million, nine hundred seventy-one thousand, six hundred forty-eight".