2852029440 has 660 divisors, whose sum is σ = 11505556524. Its totient is φ = 671514624.

The previous prime is 2852029423. The next prime is 2852029469. The reversal of 2852029440 is 449202582.

2852029440 is a `hidden beast` number, since 2 + 8 + 5 + 202 + 9 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 702038016 + 2149991424 = 26496^2 + 46368^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2852029395 and 2852029404.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 124001269 + ... + 124001291.

Almost surely, 2^2852029440 is an apocalyptic number.

2852029440 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 2852029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752778262).

2852029440 is an abundant number, since it is smaller than the sum of its proper divisors (8653527084).

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

2852029440 is a wasteful number, since it uses less digits than its factorization.

2852029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2852029440 is about 53404.3953247296. The cubic root of 2852029440 is about 1418.1363901532.

The spelling of 2852029440 in words is "two billion, eight hundred fifty-two million, twenty-nine thousand, four hundred forty".