2284322013 has 16 divisors (see below), whose sum is σ = 3391907200. Its totient is φ = 1519412364.

The previous prime is 2284322009. The next prime is 2284322023. The reversal of 2284322013 is 3102234822.

The cubic root of 2284322013 is 1317.

It is a perfect power (a cube), and thus also a powerful number.

2284322013 is a `hidden beast` number, since 2 + 28 + 432 + 201 + 3 = 666.

It is not a de Polignac number, because 2284322013 - 2² = 2284322009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284322023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5203248 + ... + 5203686.

It is an arithmetic number, because the mean of its divisors is an integer number (211994200).

Almost surely, 2^2284322013 is an apocalyptic number.

It is an amenable number.

2284322013 is a deficient number, since it is larger than the sum of its proper divisors (1107585187).

2284322013 is an frugal number, since it uses more digits than its factorization.

2284322013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2284322013 is about 47794.5814188178.

Multiplying 2284322013 by its sum of digits (27), we get a cube (61676694351 = 3951³).

2284322013 divided by its sum of digits (27) gives a cube (84604519 = 439³).

Adding to 2284322013 its reverse (3102234822), we get a palindrome (5386556835).

It can be divided in two parts, 228 and 4322013, that added together give a square (4322241 = 2079²).

The spelling of 2284322013 in words is "two billion, two hundred eighty-four million, three hundred twenty-two thousand, thirteen".