2706662347100 has 36 divisors (see below), whose sum is σ = 5931610357848. Its totient is φ = 1071945480000.

The previous prime is 2706662347091. The next prime is 2706662347153. The reversal of 2706662347100 is 17432666072.

2706662347100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2706662347100³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133983086 + ... + 134003285.

Almost surely, 2^{2706662347100} is an apocalyptic number.

2706662347100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2706662347100 is an abundant number, since it is smaller than the sum of its proper divisors (3224948010748).

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

2706662347100 is a wasteful number, since it uses less digits than its factorization.

2706662347100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267986486 (or 267986479 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 2706662347100 in words is "two trillion, seven hundred six billion, six hundred sixty-two million, three hundred forty-seven thousand, one hundred".