2085257790 has 256 divisors, whose sum is σ = 7299072000. Its totient is φ = 410417280.

The previous prime is 2085257777. The next prime is 2085257813. The reversal of 2085257790 is 977525802.

It is a happy number.

2085257790 is a `hidden beast` number, since 20 + 8 + 52 + 577 + 9 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 392371 + ... + 397649.

It is an arithmetic number, because the mean of its divisors is an integer number (28512000).

Almost surely, 2^2085257790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085257790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649536000).

2085257790 is an abundant number, since it is smaller than the sum of its proper divisors (5213814210).

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

2085257790 is a wasteful number, since it uses less digits than its factorization.

2085257790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 2085257790 is about 45664.6229591354. The cubic root of 2085257790 is about 1277.5755274400.

The spelling of 2085257790 in words is "two billion, eighty-five million, two hundred fifty-seven thousand, seven hundred ninety".