2706867072 has 640 divisors, whose sum is σ = 10505510400. Its totient is φ = 671846400.

The previous prime is 2706867043. The next prime is 2706867103. The reversal of 2706867072 is 2707686072.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17926197 + ... + 17926347.

It is an arithmetic number, because the mean of its divisors is an integer number (16414860).

Almost surely, 2^2706867072 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 2706867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252755200).

2706867072 is an abundant number, since it is smaller than the sum of its proper divisors (7798643328).

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

2706867072 is a wasteful number, since it uses less digits than its factorization.

2706867072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 2706867072 is about 52027.5606962310. The cubic root of 2706867072 is about 1393.6561738014.

The spelling of 2706867072 in words is "two billion, seven hundred six million, eight hundred sixty-seven thousand, seventy-two".