2282784 has 96 divisors (see below), whose sum is σ = 7096320. Its totient is φ = 628992.

The previous prime is 2282767. The next prime is 2282801. The reversal of 2282784 is 4872822.

It is an interprime number because it is at equal distance from previous prime (2282767) and next prime (2282801).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2282784² = 10422205581312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28857 + ... + 28935.

It is an arithmetic number, because the mean of its divisors is an integer number (73920).

2^2282784 is an apocalyptic number.

2282784 is a gapful number since it is divisible by the number (24) 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 2282784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548160).

2282784 is an abundant number, since it is smaller than the sum of its proper divisors (4813536).

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

2282784 is a wasteful number, since it uses less digits than its factorization.

2282784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 2282784 is about 1510.8884803320. Note that the first 3 decimals coincide. The cubic root of 2282784 is about 131.6704358977.

The spelling of 2282784 in words is "two million, two hundred eighty-two thousand, seven hundred eighty-four".