2852115840 has 1024 divisors, whose sum is σ = 13042944000. Its totient is φ = 573308928.

The previous prime is 2852115797. The next prime is 2852115853. The reversal of 2852115840 is 485112582.

2852115840 is a `hidden beast` number, since 28 + 52 + 1 + 1 + 584 + 0 = 666.

2852115840 is a nontrivial binomial coefficient, being equal to C(513, 4).

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 = 2852115795 and 2852115804.

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, 39070044 + ... + 39070116.

It is an arithmetic number, because the mean of its divisors is an integer number (12737250).

Almost surely, 2^2852115840 is an apocalyptic number.

2852115840 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 2852115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521472000).

2852115840 is an abundant number, since it is smaller than the sum of its proper divisors (10190828160).

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

2852115840 is a wasteful number, since it uses less digits than its factorization.

2852115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 2852115840 is about 53405.2042407854. The cubic root of 2852115840 is about 1418.1507104527.

The spelling of 2852115840 in words is "two billion, eight hundred fifty-two million, one hundred fifteen thousand, eight hundred forty".