2852314782240 has 432 divisors, whose sum is σ = 11488239637056. Its totient is φ = 592688194560.

The previous prime is 2852314782223. The next prime is 2852314782271. The reversal of 2852314782240 is 422874132582.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2852314782240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2344797 + ... + 3347043.

It is an arithmetic number, because the mean of its divisors is an integer number (26593147308).

Almost surely, 2^{2852314782240} is an apocalyptic number.

2852314782240 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 2852314782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5744119818528).

2852314782240 is an abundant number, since it is smaller than the sum of its proper divisors (8635924854816).

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

2852314782240 is a wasteful number, since it uses less digits than its factorization.

2852314782240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002301 (or 1002275 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 2852314782240 in words is "two trillion, eight hundred fifty-two billion, three hundred fourteen million, seven hundred eighty-two thousand, two hundred forty".