2646105056 has 72 divisors (see below), whose sum is σ = 6087639600. Its totient is φ = 1131735360.

The previous prime is 2646105041. The next prime is 2646105103. The reversal of 2646105056 is 6505016462.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5388971 + ... + 5389461.

It is an arithmetic number, because the mean of its divisors is an integer number (84550550).

Almost surely, 2^2646105056 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 2646105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043819800).

2646105056 is an abundant number, since it is smaller than the sum of its proper divisors (3441534544).

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

2646105056 is an frugal number, since it uses more digits than its factorization.

2646105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 2646105056 is about 51440.3057533681. The cubic root of 2646105056 is about 1383.1491925149.

The spelling of 2646105056 in words is "two billion, six hundred forty-six million, one hundred five thousand, fifty-six".