2852317440 has 648 divisors, whose sum is σ = 11922962688. Its totient is φ = 627056640.

The previous prime is 2852317427. The next prime is 2852317451. The reversal of 2852317440 is 447132582.

It is a happy number.

2852317440 is a `hidden beast` number, since 28 + 523 + 1 + 74 + 40 = 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 = 2852317395 and 2852317404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17498799 + ... + 17498961.

Almost surely, 2^2852317440 is an apocalyptic number.

2852317440 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 2852317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961481344).

2852317440 is an abundant number, since it is smaller than the sum of its proper divisors (9070645248).

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

2852317440 is a wasteful number, since it uses less digits than its factorization.

2852317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2852317440 is about 53407.0916639354. The cubic root of 2852317440 is about 1418.1841233601.

The spelling of 2852317440 in words is "two billion, eight hundred fifty-two million, three hundred seventeen thousand, four hundred forty".