2706374393856 has 912 divisors, whose sum is σ = 9481390657024. Its totient is φ = 727720132608.

The previous prime is 2706374393843. The next prime is 2706374393917. The reversal of 2706374393856 is 6583934736072.

2706374393856 is a `hidden beast` number, since 2 + 70 + 63 + 74 + 393 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2706374393793 and 2706374393802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26275479501 + ... + 26275479603.

Almost surely, 2^{2706374393856} 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 2706374393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740695328512).

2706374393856 is an abundant number, since it is smaller than the sum of its proper divisors (6775016263168).

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

2706374393856 is an equidigital number, since it uses as much as digits as its factorization.

2706374393856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 2706374393856 in words is "two trillion, seven hundred six billion, three hundred seventy-four million, three hundred ninety-three thousand, eight hundred fifty-six".