2845189960704 has 880 divisors, whose sum is σ = 10635877929600. Its totient is φ = 737546010624.

The previous prime is 2845189960673. The next prime is 2845189960721. The reversal of 2845189960704 is 4070699815482.

2845189960704 is a `hidden beast` number, since 2 + 8 + 4 + 5 + 18 + 9 + 9 + 607 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 445323142 + ... + 445329530.

It is an arithmetic number, because the mean of its divisors is an integer number (12086224920).

Almost surely, 2^{2845189960704} is an apocalyptic number.

2845189960704 is a gapful number since it is divisible by the number (24) 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 2845189960704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317938964800).

2845189960704 is an abundant number, since it is smaller than the sum of its proper divisors (7790687968896).

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

2845189960704 is a wasteful number, since it uses less digits than its factorization.

2845189960704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6500 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 2845189960704 in words is "two trillion, eight hundred forty-five billion, one hundred eighty-nine million, nine hundred sixty thousand, seven hundred four".