2085616189440 has 1536 divisors, whose sum is σ = 8751936061440. Its totient is φ = 449474199552.

The previous prime is 2085616189379. The next prime is 2085616189499. The reversal of 2085616189440 is 449816165802.

2085616189440 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 6 + 16 + 189 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16422174657 + ... + 16422174783.

It is an arithmetic number, because the mean of its divisors is an integer number (5697875040).

Almost surely, 2^{2085616189440} is an apocalyptic number.

2085616189440 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 2085616189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375968030720).

2085616189440 is an abundant number, since it is smaller than the sum of its proper divisors (6666319872000).

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

2085616189440 is a wasteful number, since it uses less digits than its factorization.

2085616189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 2085616189440 in words is "two trillion, eighty-five billion, six hundred sixteen million, one hundred eighty-nine thousand, four hundred forty".