2284714080 has 192 divisors, whose sum is σ = 8723635200. Its totient is φ = 553858560.

The previous prime is 2284714067. The next prime is 2284714151. The reversal of 2284714080 is 804174822.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23481 + ... + 71559.

It is an arithmetic number, because the mean of its divisors is an integer number (45435600).

Almost surely, 2^2284714080 is an apocalyptic number.

2284714080 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 2284714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361817600).

2284714080 is an abundant number, since it is smaller than the sum of its proper divisors (6438921120).

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

2284714080 is a wasteful number, since it uses less digits than its factorization.

2284714080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48114 (or 48100 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2284714080 is about 47798.6828270403. The cubic root of 2284714080 is about 1317.0753429534.

The spelling of 2284714080 in words is "two billion, two hundred eighty-four million, seven hundred fourteen thousand, eighty".