2706067000 has 256 divisors, whose sum is σ = 7887559680. Its totient is φ = 846144000.

The previous prime is 2706066991. The next prime is 2706067019. The reversal of 2706067000 is 7606072.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2706067000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11920887 + ... + 11921113.

It is an arithmetic number, because the mean of its divisors is an integer number (30810780).

Almost surely, 2^2706067000 is an apocalyptic number.

2706067000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2706067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943779840).

2706067000 is an abundant number, since it is smaller than the sum of its proper divisors (5181492680).

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

2706067000 is a wasteful number, since it uses less digits than its factorization.

2706067000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 2706067000 is about 52019.8712032239. The cubic root of 2706067000 is about 1393.5188520530.

The spelling of 2706067000 in words is "two billion, seven hundred six million, sixty-seven thousand".