2804401889280 has 896 divisors, whose sum is σ = 10315344936960. Its totient is φ = 722369249280.

The previous prime is 2804401889273. The next prime is 2804401889287. The reversal of 2804401889280 is 829881044082.

2804401889280 is a `hidden beast` number, since 2 + 80 + 4 + 401 + 8 + 89 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2804401889273) and next prime (2804401889287).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2804401889287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5758525197 + ... + 5758525683.

It is an arithmetic number, because the mean of its divisors is an integer number (11512661760).

Almost surely, 2^{2804401889280} is an apocalyptic number.

2804401889280 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 2804401889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157672468480).

2804401889280 is an abundant number, since it is smaller than the sum of its proper divisors (7510943047680).

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

2804401889280 is a wasteful number, since it uses less digits than its factorization.

2804401889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 2804401889280 in words is "two trillion, eight hundred four billion, four hundred one million, eight hundred eighty-nine thousand, two hundred eighty".