2647085856000 has 288 divisors, whose sum is σ = 8816370221568. Its totient is φ = 703956787200.

The previous prime is 2647085855959. The next prime is 2647085856007. The reversal of 2647085856000 is 6585807462.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2647085856007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35194434 + ... + 35269566.

Almost surely, 2^{2647085856000} is an apocalyptic number.

2647085856000 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 2647085856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408185110784).

2647085856000 is an abundant number, since it is smaller than the sum of its proper divisors (6169284365568).

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

2647085856000 is an equidigital number, since it uses as much as digits as its factorization.

2647085856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75534 (or 75510 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 2647085856000 in words is "two trillion, six hundred forty-seven billion, eighty-five million, eight hundred fifty-six thousand".