2085598080 has 576 divisors, whose sum is σ = 8184337200. Its totient is φ = 487489536.

The previous prime is 2085598057. The next prime is 2085598103. The reversal of 2085598080 is 808955802.

It is an interprime number because it is at equal distance from previous prime (2085598057) and next prime (2085598103).

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 35349091 + ... + 35349149.

Almost surely, 2^2085598080 is an apocalyptic number.

2085598080 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 2085598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092168600).

2085598080 is an abundant number, since it is smaller than the sum of its proper divisors (6098739120).

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

2085598080 is a wasteful number, since it uses less digits than its factorization.

2085598080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 2085598080 is about 45668.3487768060. The cubic root of 2085598080 is about 1277.6450188529.

The spelling of 2085598080 in words is "two billion, eighty-five million, five hundred ninety-eight thousand, eighty".