2627132097216 has 56 divisors (see below), whose sum is σ = 7582858559424. Its totient is φ = 796100634880.

The previous prime is 2627132097211. The next prime is 2627132097257. The reversal of 2627132097216 is 6127902317262.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2627132097211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 621951510 + ... + 621955733.

Almost surely, 2^{2627132097216} is an apocalyptic number.

It is an amenable number.

2627132097216 is an abundant number, since it is smaller than the sum of its proper divisors (4955726462208).

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

2627132097216 is a wasteful number, since it uses less digits than its factorization.

2627132097216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243907269 (or 1243907259 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 2627132097216 in words is "two trillion, six hundred twenty-seven billion, one hundred thirty-two million, ninety-seven thousand, two hundred sixteen".