2706000864 has 96 divisors (see below), whose sum is σ = 8192701440. Its totient is φ = 766029312.

The previous prime is 2706000833. The next prime is 2706000887. The reversal of 2706000864 is 4680006072.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54777 + ... + 91719.

It is an arithmetic number, because the mean of its divisors is an integer number (85340640).

Almost surely, 2^2706000864 is an apocalyptic number.

2706000864 is a gapful number since it is divisible by the number (24) 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 2706000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096350720).

2706000864 is an abundant number, since it is smaller than the sum of its proper divisors (5486700576).

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

2706000864 is a wasteful number, since it uses less digits than its factorization.

2706000864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37072 (or 37064 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2706000864 is about 52019.2355191808. The cubic root of 2706000864 is about 1393.5074994746.

The spelling of 2706000864 in words is "two billion, seven hundred six million, eight hundred sixty-four", and thus it is an aban number.