2772027972648 has 72 divisors (see below), whose sum is σ = 8252128753050. Its totient is φ = 840008473920.

The previous prime is 2772027972631. The next prime is 2772027972689. The reversal of 2772027972648 is 8462797202772.

It is a happy number.

2772027972648 is a `hidden beast` number, since 277 + 20 + 279 + 72 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2322996643044 + 449031329604 = 1524138^2 + 670098^2 .

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

It is a super-2 number, since 2×2772027972648² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 159083803 + ... + 159101226.

Almost surely, 2^{2772027972648} is an apocalyptic number.

It is an amenable number.

2772027972648 is an abundant number, since it is smaller than the sum of its proper divisors (5480100780402).

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

2772027972648 is a wasteful number, since it uses less digits than its factorization.

2772027972648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318185063 (or 318185045 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 2772027972648 in words is "two trillion, seven hundred seventy-two billion, twenty-seven million, nine hundred seventy-two thousand, six hundred forty-eight".