2857420800 has 720 divisors, whose sum is σ = 11612420820. Its totient is φ = 690094080.

The previous prime is 2857420733. The next prime is 2857420871. The reversal of 2857420800 is 80247582.

It is a happy number.

2857420800 is a `hidden beast` number, since 2 + 8 + 574 + 2 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 812934144 + 2044486656 = 28512^2 + 45216^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53913574 + ... + 53913626.

Almost surely, 2^2857420800 is an apocalyptic number.

2857420800 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 2857420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806210410).

2857420800 is an abundant number, since it is smaller than the sum of its proper divisors (8755000020).

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

2857420800 is a wasteful number, since it uses less digits than its factorization.

2857420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2857420800 is about 53454.8482366193. The cubic root of 2857420800 is about 1419.0294233805.

The spelling of 2857420800 in words is "two billion, eight hundred fifty-seven million, four hundred twenty thousand, eight hundred".