2853314640 has 640 divisors, whose sum is σ = 11474265600. Its totient is φ = 645120000.

The previous prime is 2853314627. The next prime is 2853314647. The reversal of 2853314640 is 464133582.

2853314640 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 3 + 1 + 4 + 640 = 666.

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 = 2853314595 and 2853314604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2853314647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28250590 + ... + 28250690.

It is an arithmetic number, because the mean of its divisors is an integer number (17928540).

Almost surely, 2^2853314640 is an apocalyptic number.

2853314640 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 2853314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737132800).

2853314640 is an abundant number, since it is smaller than the sum of its proper divisors (8620950960).

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

2853314640 is a wasteful number, since it uses less digits than its factorization.

2853314640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2853314640 is about 53416.4266869284. The cubic root of 2853314640 is about 1418.3493747696.

The spelling of 2853314640 in words is "two billion, eight hundred fifty-three million, three hundred fourteen thousand, six hundred forty".