2646501644160 has 384 divisors, whose sum is σ = 10066307996160. Its totient is φ = 635345694720.

The previous prime is 2646501644159. The next prime is 2646501644197. The reversal of 2646501644160 is 614461056462.

2646501644160 is a `hidden beast` number, since 2 + 6 + 46 + 501 + 6 + 4 + 41 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6323317 + ... + 6728843.

It is an arithmetic number, because the mean of its divisors is an integer number (26214343740).

Almost surely, 2^{2646501644160} is an apocalyptic number.

2646501644160 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 2646501644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033153998080).

2646501644160 is an abundant number, since it is smaller than the sum of its proper divisors (7419806352000).

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

2646501644160 is a wasteful number, since it uses less digits than its factorization.

2646501644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405666 (or 405651 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2646501644160 in words is "two trillion, six hundred forty-six billion, five hundred one million, six hundred forty-four thousand, one hundred sixty".