2802160396800 has 300 divisors, whose sum is σ = 10371005411646. Its totient is φ = 747242496000.

The previous prime is 2802160396787. The next prime is 2802160396817. The reversal of 2802160396800 is 86930612082.

2802160396800 is a `hidden beast` number, since 28 + 0 + 2 + 160 + 396 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1910631649536 + 891528747264 = 1382256^2 + 944208^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 314551 + ... + 2388150.

Almost surely, 2^{2802160396800} is an apocalyptic number.

2802160396800 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 2802160396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185502705823).

2802160396800 is an abundant number, since it is smaller than the sum of its proper divisors (7568845014846).

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

2802160396800 is an equidigital number, since it uses as much as digits as its factorization.

2802160396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702741 (or 2702711 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2802160396800 in words is "two trillion, eight hundred two billion, one hundred sixty million, three hundred ninety-six thousand, eight hundred".