2606477760552 has 128 divisors (see below), whose sum is σ = 6821182368000. Its totient is φ = 828404459520.

The previous prime is 2606477760541. The next prime is 2606477760569. The reversal of 2606477760552 is 2550677746062.

It is a happy number.

2606477760552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2606477760492 and 2606477760501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512982652 + ... + 512987732.

It is an arithmetic number, because the mean of its divisors is an integer number (53290487250).

Almost surely, 2^{2606477760552} 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 2606477760552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410591184000).

2606477760552 is an abundant number, since it is smaller than the sum of its proper divisors (4214704607448).

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

2606477760552 is a wasteful number, since it uses less digits than its factorization.

2606477760552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7891 (or 7887 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 57.

The spelling of 2606477760552 in words is "two trillion, six hundred six billion, four hundred seventy-seven million, seven hundred sixty thousand, five hundred fifty-two".