2685236410080 has 288 divisors, whose sum is σ = 10482446520000. Its totient is φ = 613180809216.

The previous prime is 2685236410069. The next prime is 2685236410117. The reversal of 2685236410080 is 800146325862.

2685236410080 is a `hidden beast` number, since 2 + 6 + 8 + 523 + 6 + 41 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10446946 + ... + 10700894.

It is an arithmetic number, because the mean of its divisors is an integer number (36397383750).

Almost surely, 2^{2685236410080} is an apocalyptic number.

2685236410080 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 2685236410080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241223260000).

2685236410080 is an abundant number, since it is smaller than the sum of its proper divisors (7797210109920).

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

2685236410080 is a wasteful number, since it uses less digits than its factorization.

2685236410080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255026 (or 255015 counting only the distinct ones).

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

The spelling of 2685236410080 in words is "two trillion, six hundred eighty-five billion, two hundred thirty-six million, four hundred ten thousand, eighty".