2804267760 has 160 divisors (see below), whose sum is σ = 10458140160. Its totient is φ = 607233024.

The previous prime is 2804267749. The next prime is 2804267773. The reversal of 2804267760 is 677624082.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12007 + ... + 75846.

It is an arithmetic number, because the mean of its divisors is an integer number (65363376).

Almost surely, 2^2804267760 is an apocalyptic number.

2804267760 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 2804267760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229070080).

2804267760 is an abundant number, since it is smaller than the sum of its proper divisors (7653872400).

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

2804267760 is a wasteful number, since it uses less digits than its factorization.

2804267760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87895 (or 87889 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 2804267760 is about 52955.3374080460. The cubic root of 2804267760 is about 1410.1754824096.

The spelling of 2804267760 in words is "two billion, eight hundred four million, two hundred sixty-seven thousand, seven hundred sixty".