284020002 has 48 divisors (see below), whose sum is σ = 707653440. Its totient is φ = 80644896.

The previous prime is 284019991. The next prime is 284020007. The reversal of 284020002 is 200020482.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (284020007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13624 + ... + 27452.

It is an arithmetic number, because the mean of its divisors is an integer number (14742780).

Almost surely, 2^284020002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353826720).

284020002 is an abundant number, since it is smaller than the sum of its proper divisors (423633438).

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

284020002 is a wasteful number, since it uses less digits than its factorization.

284020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14007 (or 14004 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 284020002 is about 16852.8929860722. The cubic root of 284020002 is about 657.3292762274.

Adding to 284020002 its reverse (200020482), we get a palindrome (484040484).

It can be divided in two parts, 28 and 4020002, that added together give a triangular number (4020030 = T₂₈₃₅).

The spelling of 284020002 in words is "two hundred eighty-four million, twenty thousand, two".