2667742128 has 50 divisors (see below), whose sum is σ = 7721223444. Its totient is φ = 889246944.

The previous prime is 2667742123. The next prime is 2667742163. The reversal of 2667742128 is 8212477662.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2667742123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1027926 + ... + 1030517.

Almost surely, 2^2667742128 is an apocalyptic number.

It is an amenable number.

2667742128 is an abundant number, since it is smaller than the sum of its proper divisors (5053481316).

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

2667742128 is a wasteful number, since it uses less digits than its factorization.

2667742128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058463 (or 2058448 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 2667742128 is about 51650.1900093310. The cubic root of 2667742128 is about 1386.9089444560.

The spelling of 2667742128 in words is "two billion, six hundred sixty-seven million, seven hundred forty-two thousand, one hundred twenty-eight".