2804164780032 has 1120 divisors, whose sum is σ = 10605313027584. Its totient is φ = 717167001600.

The previous prime is 2804164780009. The next prime is 2804164780033. The reversal of 2804164780032 is 2300874614082.

It is a happy number.

It is a super-2 number, since 2×2804164780032² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2804164780032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2804164780033) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3627638398 + ... + 3627639170.

Almost surely, 2^{2804164780032} is an apocalyptic number.

2804164780032 is a gapful number since it is divisible by the number (22) 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 2804164780032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5302656513792).

2804164780032 is an abundant number, since it is smaller than the sum of its proper divisors (7801148247552).

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

2804164780032 is an equidigital number, since it uses as much as digits as its factorization.

2804164780032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 2804164780032 in words is "two trillion, eight hundred four billion, one hundred sixty-four million, seven hundred eighty thousand, thirty-two".