2284028760 has 256 divisors, whose sum is σ = 7823692800. Its totient is φ = 528795648.

The previous prime is 2284028717. The next prime is 2284028767. The reversal of 2284028760 is 678204822.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284028767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7795174 + ... + 7795466.

It is an arithmetic number, because the mean of its divisors is an integer number (30561300).

Almost surely, 2^2284028760 is an apocalyptic number.

2284028760 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 2284028760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911846400).

2284028760 is an abundant number, since it is smaller than the sum of its proper divisors (5539664040).

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

2284028760 is a wasteful number, since it uses less digits than its factorization.

2284028760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2284028760 is about 47791.5134725821. The cubic root of 2284028760 is about 1316.9436403556.

The spelling of 2284028760 in words is "two billion, two hundred eighty-four million, twenty-eight thousand, seven hundred sixty".