2646084561120 has 2304 divisors, whose sum is σ = 12934088294400. Its totient is φ = 474353418240.

The previous prime is 2646084561103. The next prime is 2646084561121. The reversal of 2646084561120 is 211654806462.

It is a happy number.

2646084561120 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 0 + 8 + 4 + 5 + 611 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2646084561121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2163600829 + ... + 2163602051.

It is an arithmetic number, because the mean of its divisors is an integer number (5613753600).

Almost surely, 2^{2646084561120} is an apocalyptic number.

2646084561120 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 2646084561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467044147200).

2646084561120 is an abundant number, since it is smaller than the sum of its proper divisors (10288003733280).

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

2646084561120 is a wasteful number, since it uses less digits than its factorization.

2646084561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2646084561120 in words is "two trillion, six hundred forty-six billion, eighty-four million, five hundred sixty-one thousand, one hundred twenty".