2706006090 has 64 divisors (see below), whose sum is σ = 6673000320. Its totient is φ = 702013440.

The previous prime is 2706006071. The next prime is 2706006091. The reversal of 2706006090 is 906006072.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2706006091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163810 + ... + 179570.

It is an arithmetic number, because the mean of its divisors is an integer number (104265630).

Almost surely, 2^2706006090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2706006090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336500160).

2706006090 is an abundant number, since it is smaller than the sum of its proper divisors (3966994230).

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

2706006090 is a wasteful number, since it uses less digits than its factorization.

2706006090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15927.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 2706006090 is about 52019.2857505752. The cubic root of 2706006090 is about 1393.5083965506.

The spelling of 2706006090 in words is "two billion, seven hundred six million, six thousand, ninety".