2706286920192 has 400 divisors, whose sum is σ = 8439307081920. Its totient is φ = 861794131968.

The previous prime is 2706286920191. The next prime is 2706286920193. The reversal of 2706286920192 is 2910296826072.

2706286920192 is a `hidden beast` number, since 2 + 7 + 0 + 628 + 6 + 9 + 2 + 0 + 1 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2706286920191) and next prime (2706286920193).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2706286920191) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1157026159 + ... + 1157028497.

Almost surely, 2^{2706286920192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2706286920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219653540960).

2706286920192 is an abundant number, since it is smaller than the sum of its proper divisors (5733020161728).

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

2706286920192 is a wasteful number, since it uses less digits than its factorization.

2706286920192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2706286920192 in words is "two trillion, seven hundred six billion, two hundred eighty-six million, nine hundred twenty thousand, one hundred ninety-two".