2804967000 has 384 divisors, whose sum is σ = 10710273600. Its totient is φ = 655872000.

The previous prime is 2804966977. The next prime is 2804967019. The reversal of 2804967000 is 7694082.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2870512 + ... + 2871488.

Almost surely, 2^2804967000 is an apocalyptic number.

2804967000 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 2804967000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355136800).

2804967000 is an abundant number, since it is smaller than the sum of its proper divisors (7905306600).

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

2804967000 is a wasteful number, since it uses less digits than its factorization.

2804967000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2804967000 is about 52961.9391638939. The cubic root of 2804967000 is about 1410.2926810563.

It can be divided in two parts, 280496 and 7000, that added together give a cube (287496 = 66³).

The spelling of 2804967000 in words is "two billion, eight hundred four million, nine hundred sixty-seven thousand".