2085725376 has 672 divisors, whose sum is σ = 7988198400. Its totient is φ = 536481792.

The previous prime is 2085725371. The next prime is 2085725381. The reversal of 2085725376 is 6735275802.

2085725376 is a `hidden beast` number, since 2 + 0 + 8 + 572 + 5 + 3 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (2085725371) and next prime (2085725381).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (2085725371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90683701 + ... + 90683723.

It is an arithmetic number, because the mean of its divisors is an integer number (11887200).

Almost surely, 2^2085725376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085725376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994099200).

2085725376 is an abundant number, since it is smaller than the sum of its proper divisors (5902473024).

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

2085725376 is an equidigital number, since it uses as much as digits as its factorization.

2085725376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2085725376 is about 45669.7424560288. The cubic root of 2085725376 is about 1277.6710123226.

The spelling of 2085725376 in words is "two billion, eighty-five million, seven hundred twenty-five thousand, three hundred seventy-six".