2857525440 has 896 divisors, whose sum is σ = 12359761920. Its totient is φ = 541900800.

The previous prime is 2857525423. The next prime is 2857525441. The reversal of 2857525440 is 445257582.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2857525392 and 2857525401.

It is not an unprimeable number, because it can be changed into a prime (2857525441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66454059 + ... + 66454101.

Almost surely, 2^2857525440 is an apocalyptic number.

2857525440 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 2857525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6179880960).

2857525440 is an abundant number, since it is smaller than the sum of its proper divisors (9502236480).

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

2857525440 is a wasteful number, since it uses less digits than its factorization.

2857525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The square root of 2857525440 is about 53455.8269976249. The cubic root of 2857525440 is about 1419.0467449952.

It can be divided in two parts, 285752 and 5440, that added together give a palindrome (291192).

The spelling of 2857525440 in words is "two billion, eight hundred fifty-seven million, five hundred twenty-five thousand, four hundred forty".