2667238816 has 60 divisors (see below), whose sum is σ = 5777217810. Its totient is φ = 1212168320.

The previous prime is 2667238807. The next prime is 2667238823. The reversal of 2667238816 is 6188327662.

It can be written as a sum of positive squares in only one way, i.e., 2582672400 + 84566416 = 50820^2 + 9196^2 .

It is a super-2 number, since 2×2667238816² = 14228325803154163712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2667238816.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 465666 + ... + 471358.

Almost surely, 2^2667238816 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 2667238816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888608905).

2667238816 is an abundant number, since it is smaller than the sum of its proper divisors (3109978994).

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

2667238816 is an frugal number, since it uses more digits than its factorization.

2667238816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747 (or 5706 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 49.

The square root of 2667238816 is about 51645.3174644130. The cubic root of 2667238816 is about 1386.8217181569.

The spelling of 2667238816 in words is "two billion, six hundred sixty-seven million, two hundred thirty-eight thousand, eight hundred sixteen".