2706240000 has 200 divisors, whose sum is σ = 9012302640. Its totient is φ = 721408000.

The previous prime is 2706239981. The next prime is 2706240011. The reversal of 2706240000 is 426072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 958591 + ... + 961409.

Almost surely, 2^2706240000 is an apocalyptic number.

2706240000 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 2706240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506151320).

2706240000 is an abundant number, since it is smaller than the sum of its proper divisors (6306062640).

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

2706240000 is an frugal number, since it uses more digits than its factorization.

2706240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2706240000 is about 52021.5340027570. The cubic root of 2706240000 is about 1393.5485475021.

Adding to 2706240000 its reverse (426072), we get a palindrome (2706666072).

The spelling of 2706240000 in words is "two billion, seven hundred six million, two hundred forty thousand".