2706671150820 has 480 divisors, whose sum is σ = 10455791689728. Its totient is φ = 570781790208.

The previous prime is 2706671150791. The next prime is 2706671150837. The reversal of 2706671150820 is 280511766072.

2706671150820 is a `hidden beast` number, since 2 + 70 + 6 + 6 + 71 + 1 + 508 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 396114124 + ... + 396120956.

Almost surely, 2^{2706671150820} is an apocalyptic number.

2706671150820 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 2706671150820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227895844864).

2706671150820 is an abundant number, since it is smaller than the sum of its proper divisors (7749120538908).

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

2706671150820 is a wasteful number, since it uses less digits than its factorization.

2706671150820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9561 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 2706671150820 in words is "two trillion, seven hundred six billion, six hundred seventy-one million, one hundred fifty thousand, eight hundred twenty".