2685535215104 has 320 divisors, whose sum is σ = 6661608915456. Its totient is φ = 1055263555584.

The previous prime is 2685535215089. The next prime is 2685535215107. The reversal of 2685535215104 is 4015125355862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685535215107) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1197295007 + ... + 1197297249.

Almost surely, 2^{2685535215104} 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 2685535215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330804457728).

2685535215104 is an abundant number, since it is smaller than the sum of its proper divisors (3976073700352).

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

2685535215104 is a wasteful number, since it uses less digits than its factorization.

2685535215104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 47.

The spelling of 2685535215104 in words is "two trillion, six hundred eighty-five billion, five hundred thirty-five million, two hundred fifteen thousand, one hundred four".