2856566440 has 384 divisors, whose sum is σ = 8708808960. Its totient is φ = 822362112.

The previous prime is 2856566417. The next prime is 2856566459. The reversal of 2856566440 is 446656582.

2856566440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2856566440² = 16319943652268547200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42635287 + ... + 42635353.

It is an arithmetic number, because the mean of its divisors is an integer number (22679190).

Almost surely, 2^2856566440 is an apocalyptic number.

2856566440 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 2856566440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354404480).

2856566440 is an abundant number, since it is smaller than the sum of its proper divisors (5852242520).

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

2856566440 is a wasteful number, since it uses less digits than its factorization.

2856566440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The square root of 2856566440 is about 53446.8562218584. The cubic root of 2856566440 is about 1418.8879808100.

The spelling of 2856566440 in words is "two billion, eight hundred fifty-six million, five hundred sixty-six thousand, four hundred forty".