2856166400 has 264 divisors, whose sum is σ = 7553921280. Its totient is φ = 1069056000.

The previous prime is 2856166387. The next prime is 2856166409. The reversal of 2856166400 is 46616582.

It is not an unprimeable number, because it can be changed into a prime (2856166409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46822370 + ... + 46822430.

Almost surely, 2^2856166400 is an apocalyptic number.

2856166400 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 2856166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776960640).

2856166400 is an abundant number, since it is smaller than the sum of its proper divisors (4697754880).

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

2856166400 is a wasteful number, since it uses less digits than its factorization.

2856166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 2856166400 is about 53443.1136817458. The cubic root of 2856166400 is about 1418.8217429614.

The spelling of 2856166400 in words is "two billion, eight hundred fifty-six million, one hundred sixty-six thousand, four hundred".