2804409216 has 320 divisors, whose sum is σ = 10103654880. Its totient is φ = 753795072.

The previous prime is 2804409211. The next prime is 2804409221. The reversal of 2804409216 is 6129044082.

It is an interprime number because it is at equal distance from previous prime (2804409211) and next prime (2804409221).

It is a super-2 number, since 2×2804409216² = 15729422101571469312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2804409211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1232656 + ... + 1234928.

Almost surely, 2^2804409216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2804409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051827440).

2804409216 is an abundant number, since it is smaller than the sum of its proper divisors (7299245664).

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

2804409216 is a wasteful number, since it uses less digits than its factorization.

2804409216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2804409216 is about 52956.6730072802. The cubic root of 2804409216 is about 1410.1991932254.

The spelling of 2804409216 in words is "two billion, eight hundred four million, four hundred nine thousand, two hundred sixteen".