2085415200960 has 448 divisors, whose sum is σ = 8260818542592. Its totient is φ = 433970970624.

The previous prime is 2085415200859. The next prime is 2085415200961. The reversal of 2085415200960 is 690025145802.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2085415200961) 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 63 ways as a sum of consecutive naturals, for example, 6213777 + ... + 6540783.

It is an arithmetic number, because the mean of its divisors is an integer number (18439327104).

Almost surely, 2^{2085415200960} is an apocalyptic number.

2085415200960 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 2085415200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130409271296).

2085415200960 is an abundant number, since it is smaller than the sum of its proper divisors (6175403341632).

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

2085415200960 is a wasteful number, since it uses less digits than its factorization.

2085415200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327120 (or 327110 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 2085415200960 in words is "two trillion, eighty-five billion, four hundred fifteen million, two hundred thousand, nine hundred sixty".