2852577000 has 896 divisors, whose sum is σ = 12603951360. Its totient is φ = 587865600.

The previous prime is 2852576963. The next prime is 2852577029. The reversal of 2852577000 is 7752582.

2852577000 is a `hidden beast` number, since 2 + 85 + 2 + 577 + 0 + 0 + 0 = 666.

2852577000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 66338979 + ... + 66339021.

It is an arithmetic number, because the mean of its divisors is an integer number (14066910).

Almost surely, 2^2852577000 is an apocalyptic number.

2852577000 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 2852577000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301975680).

2852577000 is an abundant number, since it is smaller than the sum of its proper divisors (9751374360).

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

2852577000 is a wasteful number, since it uses less digits than its factorization.

2852577000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 2852577000 is about 53409.5216230215. The cubic root of 2852577000 is about 1418.2271401600.

The spelling of 2852577000 in words is "two billion, eight hundred fifty-two million, five hundred seventy-seven thousand".