2646552703872 has 1536 divisors, whose sum is σ = 10000377676800. Its totient is φ = 599886397440.

The previous prime is 2646552703867. The next prime is 2646552703897. The reversal of 2646552703872 is 2783072556462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9838485754 + ... + 9838486022.

It is an arithmetic number, because the mean of its divisors is an integer number (6510662550).

Almost surely, 2^{2646552703872} is an apocalyptic number.

2646552703872 is a gapful number since it is divisible by the number (22) 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 2646552703872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000188838400).

2646552703872 is an abundant number, since it is smaller than the sum of its proper divisors (7353824972928).

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

2646552703872 is a wasteful number, since it uses less digits than its factorization.

2646552703872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 2646552703872 in words is "two trillion, six hundred forty-six billion, five hundred fifty-two million, seven hundred three thousand, eight hundred seventy-two".