2667639906 has 56 divisors (see below), whose sum is σ = 6043065840. Its totient is φ = 882749016.

The previous prime is 2667639901. The next prime is 2667639943. The reversal of 2667639906 is 6099367662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2667639901) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 196081 + ... + 209243.

It is an arithmetic number, because the mean of its divisors is an integer number (107911890).

Almost surely, 2^2667639906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2667639906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021532920).

2667639906 is an abundant number, since it is smaller than the sum of its proper divisors (3375425934).

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

2667639906 is a wasteful number, since it uses less digits than its factorization.

2667639906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13322 (or 13307 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 2667639906 is about 51649.2004391162. The cubic root of 2667639906 is about 1386.8912297982.

The spelling of 2667639906 in words is "two billion, six hundred sixty-seven million, six hundred thirty-nine thousand, nine hundred six".