2706352240 has 80 divisors (see below), whose sum is σ = 6374592000. Its totient is φ = 1068477696.

The previous prime is 2706352237. The next prime is 2706352279. The reversal of 2706352240 is 422536072.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2212269 + ... + 2213491.

It is an arithmetic number, because the mean of its divisors is an integer number (79682400).

Almost surely, 2^2706352240 is an apocalyptic number.

2706352240 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 2706352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187296000).

2706352240 is an abundant number, since it is smaller than the sum of its proper divisors (3668239760).

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

2706352240 is a wasteful number, since it uses less digits than its factorization.

2706352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 2706352240 is about 52022.6127755998. The cubic root of 2706352240 is about 1393.5678128206.

The spelling of 2706352240 in words is "two billion, seven hundred six million, three hundred fifty-two thousand, two hundred forty".