2857046478400 has 63 divisors (see below), whose sum is σ = 7030286360659. Its totient is φ = 1142791546880.

The previous prime is 2857046478389. The next prime is 2857046478413. The reversal of 2857046478400 is 48746407582.

The square root of 2857046478400 is 1690280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 36903946816 + 2820142531584 = 192104^2 + 1679328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67590072 + ... + 67632328.

Almost surely, 2^{2857046478400} is an apocalyptic number.

2857046478400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2857046478400 is the 1690280-th square number.

It is an amenable number.

2857046478400 is an abundant number, since it is smaller than the sum of its proper divisors (4173239882259).

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

2857046478400 is an frugal number, since it uses more digits than its factorization.

2857046478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84536 (or 42264 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 55.

The spelling of 2857046478400 in words is "two trillion, eight hundred fifty-seven billion, forty-six million, four hundred seventy-eight thousand, four hundred".