2804213181600 has 432 divisors, whose sum is σ = 10032589482552. Its totient is φ = 736901038080.

The previous prime is 2804213181557. The next prime is 2804213181611. The reversal of 2804213181600 is 61813124082.

2804213181600 is a `hidden beast` number, since 2 + 8 + 0 + 42 + 1 + 3 + 1 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 18345077136 + 2785868104464 = 135444^2 + 1669092^2 .

It is a super-2 number, since 2×2804213181600² (a number of 26 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1047519462 + ... + 1047522138.

Almost surely, 2^{2804213181600} is an apocalyptic number.

2804213181600 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 2804213181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016294741276).

2804213181600 is an abundant number, since it is smaller than the sum of its proper divisors (7228376300952).

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

2804213181600 is a wasteful number, since it uses less digits than its factorization.

2804213181600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2804213181600 in words is "two trillion, eight hundred four billion, two hundred thirteen million, one hundred eighty-one thousand, six hundred".