2706365441100 has 72 divisors (see below), whose sum is σ = 7830869417280. Its totient is φ = 721655785280.

The previous prime is 2706365441051. The next prime is 2706365441119. The reversal of 2706365441100 is 11445636072.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5130259 + ... + 5633141.

It is an arithmetic number, because the mean of its divisors is an integer number (108762075240).

Almost surely, 2^{2706365441100} is an apocalyptic number.

2706365441100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2706365441100 is an abundant number, since it is smaller than the sum of its proper divisors (5124503976180).

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

2706365441100 is a wasteful number, since it uses less digits than its factorization.

2706365441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520839 (or 520832 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 2706365441100 in words is "two trillion, seven hundred six billion, three hundred sixty-five million, four hundred forty-one thousand, one hundred".