2852526240 has 384 divisors, whose sum is σ = 10973491200. Its totient is φ = 688849920.

The previous prime is 2852526223. The next prime is 2852526247. The reversal of 2852526240 is 426252582.

2852526240 is a `hidden beast` number, since 2 + 8 + 5 + 25 + 2 + 624 + 0 = 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 = 2852526195 and 2852526204.

It is not an unprimeable number, because it can be changed into a prime (2852526247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1887085 + ... + 1888595.

It is an arithmetic number, because the mean of its divisors is an integer number (28576800).

Almost surely, 2^2852526240 is an apocalyptic number.

2852526240 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 2852526240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486745600).

2852526240 is an abundant number, since it is smaller than the sum of its proper divisors (8120964960).

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

2852526240 is a wasteful number, since it uses less digits than its factorization.

2852526240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2852526240 is about 53409.0464247397. The cubic root of 2852526240 is about 1418.2187279259.

The spelling of 2852526240 in words is "two billion, eight hundred fifty-two million, five hundred twenty-six thousand, two hundred forty".