2852356500 has 576 divisors, whose sum is σ = 11164188672. Its totient is φ = 598752000.

The previous prime is 2852356471. The next prime is 2852356501. The reversal of 2852356500 is 56532582.

It is a happy number.

2852356500 is a `hidden beast` number, since 2 + 85 + 23 + 56 + 500 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852356501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22459437 + ... + 22459563.

It is an arithmetic number, because the mean of its divisors is an integer number (19382272).

Almost surely, 2^2852356500 is an apocalyptic number.

2852356500 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 2852356500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582094336).

2852356500 is an abundant number, since it is smaller than the sum of its proper divisors (8311832172).

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

2852356500 is a wasteful number, since it uses less digits than its factorization.

2852356500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2852356500 is about 53407.4573444571. The cubic root of 2852356500 is about 1418.1905969288.

The spelling of 2852356500 in words is "two billion, eight hundred fifty-two million, three hundred fifty-six thousand, five hundred".